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example 2. Find 84 ÷ 12.
Solution.

Step 1. 8 < 12, so take 84 as the dividend and divide it by 12.
Step 2. Recite the multiplication table of 12. 7 Q

As 7 × 12 = 84, write 7 in the ones place of the quotient and 12 8 4
84 below 84. – 8 4
Step 3. Subtract 84 from 84. We have 84 – 84 = 0 (remainder) 0 R

So, Q = 7, R = 0.
Checking: Quotient × Divisor + Remainder = Dividend

7 × 12 + 0 = 84
84 + 0 = 84
Therefore, the division is correct.

Dividing a 3-digit number

example 3. Divide 574 by 15.
Solution.

Step 1. Since 5 < 15, divide 57 by 15. 3 8 Q
Here, 15 goes 3 times (3 × 15 = 45) into 57 with a remainder
of 12. Put 3 in the tens place of the quotient and bring 15 5 7 4
down the next digit 4 alongside the remainder 12, to – 4 5

make it 124. 1 2 4
Step 2. Divide 124 by 15. Here 15 goes 8 times (8 × 15 = 120) into – 1 2 0
124 with a remainder of 4. 4 R

So, Q = 38, R = 4.
Checking: Quotient × Divisor + Remainder = Dividend
38 × 15 + 4 = 574

570 + 4 = 574

Therefore, the division is correct.
example 4. Divide 145 by 17.
Solution.

Step 1. Since 1 < 17, take 14 as the dividend.
But as 14 < 17, take 145 as the dividend.

Step 2. Divide 145 by 17. 8 Q
Here, 17 goes 8 times (8 × 17 = 136) into 145 with a 17 1 4 5
remainder of 9. Put 8 in the ones place of the quotient. – 1 3 6

So, Q = 8, R = 9. 9 R

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