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Long division is a method for dividing huge numbers. In a long division, the dividend is the large number that is divided by another number called the divisor. The quotient is the result of the division, and the excess quantity that cannot be divided is called the remainder.

How to use the long division method:

• Step 1: Take the dividend's first digit from the left. Check to see if this digit is larger or smaller than the divisor.
• Step 2: Divide it by the divisor and write the result as the quotient on the top.
• Step 3: Subtract the result from the digit and record the difference.
• Step 4: Reduce the dividend to the next digit.
• Step 5: Repeat the steps once again.

Example:

Find: $\frac{112}{8}$

Solutions

Step1:

Set up the division problem in long division format:

Step2:

Divide 11 by 8. Place this digit in the quotient on top of the division symbol:

Step3:

Multiply the newest quotient digit (1) by the divisor 8:

Step4:

Subtract 8 from 11:

Step5:

Bring down the next dividend:

Step6:

Divide 32 by 8. Place this in the digit in the quotient on top of the division symbol:

Step7:

Subtract 32 from 32:

Answer: 14