55 Divided by 6 Step-by-Step: Visual Long Division and Proof Breakdown

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The standard long division algorithm breaks the problem into four repeatable arithmetic steps: divide, multiply, subtract, and bring down. When applied to 55 divided by 6, the process moves quickly because 55 contains only two digits.

First, inspect the tens place of the dividend. The digit 5 cannot be divided by 6 to yield a whole number (6 goes into 5 zero times). Move to the full number, 55.

Next, determine the largest multiple of 6 that does not exceed 55. Recalling basic multiplication tables gives 6 × 9 = 54, while 6 × 10 = 60 (which overshoots the target). Place 9 in the quotient position above the units place.

Now perform the subtraction to complete the remainder calculation. Subtract 54 from 55: 55 - 54 = 1. Because there are no more whole digits to bring down from the dividend, the whole-number phase ends here. The quotient is 9, and the remainder is 1.