Long Division: 37 ÷ 17

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Dividend (number to be divided)
Divisor (number to divide by)

How to divide 37 by 17 using long division and find the remainder?

Answer

37 ÷ 17 = 2 remainder 3

= 2.1764705882352941 ≈ 2.18

Remainder 3 is less than the divisor 17. Check: 2 × 17 + 3 = 37.

37 ÷ 17 in a column

2
1737
−34
3

In the column: quotient 2, remainder 3.

Step by step: 37 ÷ 17

  1. Step 137 ÷ 17 → 2: 2 × 17 = 34, 37 − 34 = 3
  2. Quotient and remainder2 remainder 3

After the point, add a zero to the remainder: 30 ÷ 17 → 1, remainder 13; 130 ÷ 17 → 7, remainder 11; 110 ÷ 17 → 6, remainder 8; …; the remainder 3 returns after step 16 — period length 16.

37 ÷ 17 = 2.1764705882352941 ≈ 2.18

Similar examples to practise

See Also

Long Division Table

FAQ

How to divide 37 by 17 using long division and find the remainder?

37 ÷ 17 = 2 remainder 3

Is 37 divisible by 17?

No, 37 is not divisible by 17. The remainder is 3.

How to check the result of 37 ÷ 17?

Multiply the quotient 2 by the divisor 17 and add the remainder 3. The result should equal 37.