We can use the standard algorithm for division to divide three-digit-numbers by two-digit numbers.

For example, what is the value of 528 \div 24?

We start by writing down the question using long division notation:

24 \!\!\require{enclose}\enclose{longdiv}{5 {\:\phantom{|}} 2 {\:\phantom{|}} 8}

First, we would consider the hundreds, but 24 doesn't go into \color{red}5. So instead, we consider the hundreds and tens. Notice that 24 goes {\color{blue}2} times into {\color{red}52}. So, we get:

\color{blue}2
24 \!\!\require{enclose}\enclose{longdiv}{{\color{red}5} {\:\phantom{|}} {\color{red}2} {\:\phantom{|}} 8}
-\!\!\!\! 4 8 \color{lightgray}\,\downarrow
4 \color{lightgray}8

Write over tens: \color{blue}2
Multiply: 24 \times {\color{blue}2} = 48
Subtract: {\color{red}52} - 48 = 4
Bring down: 8

Finally, notice that 24 goes {\color{blue}2} times into {\color{red}48}. So, we get:

2 \color{blue}2
24 \!\!\require{enclose}\enclose{longdiv}{5 {\:\phantom{|}} 2 {\:\phantom{|}} 8}
-\!\!\!\! 4 8
\color{red}4 \color{red}8
-\!\!\!\! 4 8
\phantom{0} 0

Write over ones: \color{blue}2
Multiply: 24 \times {\color{blue}2} = 48
Subtract: {\color{red}48} - 48 = 0

We've gone through all the digits, so the division is done.

Therefore, 528 \div 24 = 22 \, .

FLAG

Find the quotient and the remainder of 504 \div 25.

EXPLANATION

We start by writing down the question using long division notation:

25 \!\!\require{enclose}\enclose{longdiv}{5 {\:\phantom{|}} 0 {\:\phantom{|}} 4}

Next, we consider the hundreds and tens. Notice that 25 goes {\color{blue}2} times into {\color{red}50}. So, we get:

\color{blue}2
25 \!\!\require{enclose}\enclose{longdiv}{{\color{red}5} {\:\phantom{|}} {\color{red}0} {\:\phantom{|}} 4}
-\!\!\!\! 5 0 \color{lightgray}\,\downarrow
0 \color{lightgray}4

Write over tens: \color{blue}2
Multiply: 25 \times {\color{blue}2} = 50
Subtract: {\color{red}50} - 50 = 0
Bring down: 4

Finally, notice that 25 goes {\color{blue}0} times into {\color{red}4}. So, {\color{red}4} is the remainder and we get:

2 \color{blue}0
25 \!\!\require{enclose}\enclose{longdiv}{5 {\:\phantom{|}} 0 {\:\phantom{|}} 4}
-\!\!\!\! 5 0
0 \color{red}4

Write over ones: \color{blue}0

We've gone through all the digits in the number 504 , so the division is done.

Therefore, 504 \div 25 = 20\,\text{R}\,4 \, .

So the quotient is 20 and the remainder is 4.

FLAG

Find the quotient and the remainder of $902 \div 45.$

a
$21\,\text{R}\,2$
b
$20\,\text{R}\,5$
c
$20\,\text{R}\,2$
d
$20\,\text{R}\,4$
e
$21\,\text{R}\,0$

$408 \div 34=$

a
$13$
b
$11$
c
$16$
d
$14$
e
$12$

What is the remainder of 987 \div 17?

EXPLANATION

We start by writing down the question using long division notation:

17 \!\!\require{enclose}\enclose{longdiv}{9 {\:\phantom{|}} 8 {\:\phantom{|}} 7}

Next, we consider the hundreds and tens. Notice that 17 goes {\color{blue}5} times into {\color{red}98}. So, we get:

\color{blue}5
17 \!\!\require{enclose}\enclose{longdiv}{{\color{red}9} {\:\phantom{|}} {\color{red}8} {\:\phantom{|}} 7}
-\!\!\!\! 8 5 \color{lightgray}\,\downarrow
1 3 \color{lightgray}7

Write over tens: \color{blue}5
Multiply: 17 \times {\color{blue}5} = 85
Subtract: {\color{red}98} - 85 = 13
Bring down: 7

Finally, notice that 17 goes {\color{blue}8} times into {\color{red}137}. So, we get:

5 \color{blue}8
17 \!\!\require{enclose}\enclose{longdiv}{9 {\:\phantom{|}} 8 {\:\phantom{|}} 7}
-\!\!\!\! 8 5
\color{red}1 \color{red}3 \color{red}7
-\!\!\!\! 1 3 6
1

Write over ones: \color{blue}8
Multiply: 17 \times {\color{blue}8} = 136
Subtract: {\color{red}137} - 136 = 1

We've gone through all the digits in the number 987 , so the division is done.

Therefore, the remainder is 1.

FLAG

Find the remainder of $734 \div 15.$

a
$14$
b
$12$
c
$16$
d
$28$
e
$48$

What is the remainder of $961 \div 32?$

a
$1$
b
$17$
c
$5$
d
$9$
e
$2$

From a large container, a store owner is pouring 864\, \text{fl oz} of olive oil into several 24\, \text{fl oz} bottles. How many bottles will he need to bottle all the oil?

EXPLANATION

To find out how many bottles the store owner will use, we need to divide 864 by 24.

We start by writing down the question using long division notation:

24 \!\!\require{enclose}\enclose{longdiv}{8 {\:\phantom{|}} 6 {\:\phantom{|}} 4}

Next, we consider the hundreds and tens. Notice that 24 goes {\color{blue}3} times into {\color{red}86}. So, we get:

\color{blue}3
24 \!\!\require{enclose}\enclose{longdiv}{{\color{red}8} {\:\phantom{|}} {\color{red}6} {\:\phantom{|}} 4}
-\!\!\!\! 7 2 \color{lightgray}\,\downarrow
1 4 \color{lightgray}4

Write over tens: \color{blue}3
Multiply: 24 \times {\color{blue}3} = 72
Subtract: {\color{red}86} - 72 = 14
Bring down: 4

Finally, notice that 24 goes {\color{blue}6} times into {\color{red}144}. So, we get:

3 \color{blue}6
24 \!\!\require{enclose}\enclose{longdiv}{8 {\:\phantom{|}} 6 {\:\phantom{|}} 4}
-\!\!\!\! 7 2
\color{red}1 \color{red}4 \color{red}4
-\!\!\!\! 1 4 4
\phantom{0} 0

Write over ones: \color{blue}6
Multiply: 24 \times {\color{blue}6} = 144
Subtract: {\color{red}144} - 144 = 0

We've gone through all the digits in the number 864 , so the division is done.

Therefore, 864 \div 24 = 36.

So the store owner will need a total of 36 bottles to bottle all the olive oil.

FLAG

In an amusement park, a machine throws a total of $672$ candies to the crowd for $48$ seconds. If the machine throws the same number of candies every second, how many candies does it throw in one second?

a
$18$
b
$13$
c
$24$
d
$14$
e
$12$

A store owner needs to pack $495$ ounces of sugar into several $45$-ounce plastic bags. How many bags will he need to pack all the sugar?

a
$9$
b
$12$
c
$17$
d
$13$
e
$11$

518 \div 74=

EXPLANATION

We start by writing down the question using long division notation:

74 \!\!\require{enclose}\enclose{longdiv}{5 {\:\phantom{|}} 1 {\:\phantom{|}} 8}

Since 74 does not go into {\color{red}51} , we consider the hundreds, tens and ones altogether. Notice that 74 goes {\color{blue}7} times into {\color{red}518}. So, we get:

\color{blue}7
74 \!\!\require{enclose}\enclose{longdiv}{{\color{red}5} {\:\phantom{|}} {\color{red}1} {\:\phantom{|}} {\color{red}8}}
-\!\!\!\! 5 1 8
\phantom{0} 0

Write over ones: \color{blue}7
Multiply: 74 \times {\color{blue}7} = 518
Subtract: {\color{red}518} - 518 = 0

We've gone through all the digits in the number 518 , so the division is done.

Therefore, 518 \div 74 = 7.

FLAG

$729 \div 81=$

a
$11$
b
$7$
c
$6$
d
$9$
e
$8$

$399 \div 57=$

a
$11$
b
$6$
c
$8$
d
$7$
e
$9$
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