100 Divided by 14 Step by Step: Visual Breakdown, Decimals, and Remainders

Take a closer look at 100 Divided by 14 Step by Step: Visual Breakdown, Decimals, and Remainders in our detailed breakdown.

Carrying the calculation past the decimal point introduces the repeating decimal pattern. To continue dividing 2 by 14 (or 2 by 7 in simplified terms), place a decimal point after the quotient 7 and append a zero to the remainder, turning 2 into 20.

1. 20 ÷ 14 = 1 (Remainder: 20 - 14 = 6)

1. Append a zero to 6: 60 ÷ 14 = 4 (Remainder: 60 - 56 = 4)
2. Append a zero to 4: 40 ÷ 14 = 2 (Remainder: 40 - 28 = 12)
3. Append a zero to 12: 120 ÷ 14 = 8 (Remainder: 120 - 112 = 8)
4. Append a zero to 8: 80 ÷ 14 = 5 (Remainder: 80 - 70 = 10)
5. Append a zero to 10: 100 ÷ 14 = 7 (Remainder: 100 - 98 = 2)

At step 6, the remaining value returns to 2, the exact value encountered at the beginning of the decimal phase. This cycle forces the entire series of calculations to repeat in an endless loop. The full decimal expansion is written as 7.142857142857..., or notationally with a vinculum bar over the repetend: 7.142857.