Long Division: 1000 ÷ 17

Long Division Calculator
Dividend (number to be divided)
Divisor (number to divide by)

How to divide 1,000 by 17 using long division and find the remainder?

Answer

1,000 ÷ 17 = 58 remainder 14

= 58.8235294117647058 ≈ 58.82

Remainder 14 is less than the divisor 17. Check: 58 × 17 + 14 = 1,000.

1,000 ÷ 17 in a column

58
171000
−85
150
−136
14

In the column: quotient 58, remainder 14.

Step by step: 1,000 ÷ 17

  1. Step 1100 ÷ 17 → 5: 5 × 17 = 85, 100 − 85 = 15; bring down 0 → 150
  2. Step 2150 ÷ 17 → 8: 8 × 17 = 136, 150 − 136 = 14
  3. Quotient and remainder58 remainder 14

After the point, add a zero to the remainder: 140 ÷ 17 → 8, remainder 4; 40 ÷ 17 → 2, remainder 6; 60 ÷ 17 → 3, remainder 9; …; the remainder 14 returns after step 16 — period length 16.

1,000 ÷ 17 = 58.8235294117647058 ≈ 58.82

See Also

Long Division Table

FAQ

How to divide 1,000 by 17 using long division and find the remainder?

1,000 ÷ 17 = 58 remainder 14

Is 1,000 divisible by 17?

No, 1,000 is not divisible by 17. The remainder is 14.

How to check the result of 1,000 ÷ 17?

Multiply the quotient 58 by the divisor 17 and add the remainder 14. The result should equal 1,000.