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Checking: Quotient × Divisor + Remainder = 11888 × 7 + 2 = 83218 = Dividend

Hence, the answer is correct.
short Division method

After gaining fluency in addition, subtraction and multiplication, we use these mentally
in the short division method. Let us divide 4276 by 5.

Step 1: Since 4 < 5, divide 42 by 5. 5 42 7 6
2 2
Q = 8 and R = 2 8 5 5 R 1

Write 8 below 42 and 2 just above and before 7.
Step 2: Regroup remainder 2 with 7 as 27, and divide 27 by 5.

Q = 5 and R = 2

Write 5 below 7 and 2 just above and before 6.

Step 3: Regroup remainder 2 with 6 as 26, and divide 26 by 5.

Q = 5 and R = 1
Be Aware
Write 5 below 6 and 1 as the final remainder. The short division method
will help you later while
Thus, final Q = 855 and R = 1. doing prime factorisation.

Fast Check
Divide by using the short division method:

1. 6 3726 2. 8 5056 3. 9 88204

Division when there are Zeros in the Dividend

Zeros in the dividend should be treated just like other digits. Bring down the zero in
division steps as we “bring down” any other digit.

Example 4: Divide 90090 by 9.

Solution: Step 1: Divide the ten thousands digit 9 by 9.

We have quotient (Q) = 1 ten thousand and remainder (R) = 0

Step 2: Bring down the thousands digit 0.

Since 0 < 9, put a ‘0’ in the quotient Divisor 9 90090 10010 Q
in the thousands place. 9
0009
Step 3: Bring down the hundreds digit 0. 9 Remainder

Since it is also ‘0’, put a ‘0’ in the 00
quotient in the hundreds place.

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