Long Division: 53 ÷ 17

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

How to divide 53 by 17 using long division and find the remainder?

Answer

53 ÷ 17 = 3 remainder 2

= 3.1176470588235294 ≈ 3.12

Remainder 2 is less than the divisor 17. Check: 3 × 17 + 2 = 53.

53 ÷ 17 in a column

3
1753
−51
2

In the column: quotient 3, remainder 2.

Step by step: 53 ÷ 17

  1. Step 153 ÷ 17 → 3: 3 × 17 = 51, 53 − 51 = 2
  2. Quotient and remainder3 remainder 2

After the point, add a zero to the remainder: 20 ÷ 17 → 1, remainder 3; 30 ÷ 17 → 1, remainder 13; 130 ÷ 17 → 7, remainder 11; …; the remainder 2 returns after step 16 — period length 16.

53 ÷ 17 = 3.1176470588235294 ≈ 3.12

Similar examples to practise

See Also

Long Division Table

FAQ

How to divide 53 by 17 using long division and find the remainder?

53 ÷ 17 = 3 remainder 2

Is 53 divisible by 17?

No, 53 is not divisible by 17. The remainder is 2.

How to check the result of 53 ÷ 17?

Multiply the quotient 3 by the divisor 17 and add the remainder 2. The result should equal 53.