Page 103 - Touchpad Mathematics_Ver1.0_C4

Step 4. Bring down 9 ones. We have 4 tens + 9 ones = 49 ones.

Step 5. Repeat steps 1 to 3.
Checking
Compare: 49 > 6
48 × 6 + 1 = 289
Divide: 49 ÷ 6, quotient = 8
288 + 1 = 289
Multiply: 6 × 8 = 48 ones
Thus, the division is correct.
Subtract: 49 – 48 = 1 one

Thus, quotient (Q) = 48, remainder (R) = 1.
Keep in Mind
Example 3. Divide 635 by 7.

Solution. H t o Division is not complete until each digit
9 0 (Q) of the dividend has been processed
7 6 3 5 and the subtraction step has been
– 6 3 carried out.

0 0 5
– 0 Checking
5 (R)
90 × 7 + 5 = 635
630 + 5 = 635
6 < 7, so regroup hundreds and tens, then divide.

7 × 9 = 63 635 = 635
Bring down 5 from the dividend. Thus, the division is correct.
Since 5 < 7, we use 0 times the multiplication table of 7.

Example 4. Divide 507 by 4. Example 5. Divide 800 by 7.

Solution. H t o Solution. H t o
1 2 6 (Q) 1 1 4 (Q)
4 5 0 7 7 8 0 0
– 4 – 7
1 0 1 0
– 8 – 7

2 7 3 0
– 2 4 – 2 8
3 (R) 2 (R)

Checking Checking

126 × 4 + 3 = 507 114 × 7 + 2 = 800
504 + 3 = 507 798 + 2 = 800

Thus, the division is correct. Thus, the division is correct.

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Division