What Are Some Examples of How to Complete Long Division Problems?

# What Are Some Examples of How to Complete Long Division Problems?

If the divisor is 7 and the dividend is 84, solve it by attempting to divide 8 by 7. The result is 1 with a remainder of 1. Therefore, the first digit of the quotient is 1. Place the remainder of 1 in front of the next digit, which is 4. The divisor of 7 is divided into 14, which results in 2. Therefore, the results of 1 and 2 translate to a quotient of 12.

If the divisor is 32 and the dividend is 487, the first step is to divide 32 by the first digit of the dividend, which is 4. The result is 0, so we move onto the first two digits of the dividend, which is 48. The result of 48 divided by 32 is 1, and the remainder is 16. Place this remainder of 16 in front of the next digit, which is 7. Therefore, the next step is to divide 167 by 32. The result is 5, and the remainder is 7. Because there are no more additional digits in the dividend, the final solution to 487 divided by 32 is 15. This is determined by combining each result in sequential order. The remainder to this problem is the same remainder as our final quotient. Therefore, the remainder is 7.

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