Long Division Calculator › 17 divided by 3
17 Divided by 3
17 ÷ 3 = 5.666667
| Exact decimal | 5.6… |
| Whole-number quotient | 5 |
| Remainder | 2 |
| As a fraction | 17/3 |
Check: 5 × 3 + 2 = 17.
Long division, step by step
Working through each digit of 17 from left to right, dividing by 3 and carrying the remainder:
| Bring down | Divide | Digit | Left over |
| 1 | 1 ÷ 3 | 0 | 1 |
| 7 | 17 ÷ 3 | 5 | 2 |
Reading the digit column top to bottom gives the quotient 5 with 2 left over.
A repeating decimal
17 ÷ 3 is a repeating decimal, 5.6, where the block 6 repeats forever. The repetend is 1 digit long, so 17/3 cannot be written as an exact (terminating) decimal.
Divide 17 by other numbers
17 ÷ 2 · 17 ÷ 4 · 17 ÷ 5 · 17 ÷ 6 · 17 ÷ 7 · 17 ÷ 8 · 17 ÷ 9 · 17 ÷ 10 · 17 ÷ 11 · 17 ÷ 12
Nearby divisions by 3
Frequently asked questions
What is 17 divided by 3?
17 ÷ 3 = 5.666667. As a whole number the quotient is 5 with a remainder of 2.
Is 17 ÷ 3 a terminating or repeating decimal?
It repeats: 17 ÷ 3 = 5.66… where "6" repeats forever (a period of 1 digit).
Is 17 divisible by 3?
No. The nearest multiples of 3 are 15 (5 × 3) and 18 (6 × 3), so 17 leaves a remainder of 2.