17/32 as a Decimal

Step-by-step solution

The problem

1. Divide 17 by 32 (long division). Write down how many times 32 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

   Step	Divide	Digit	Remainder	Working
   Whole part	17 ÷ 32	0	17	32 × 0 = 0, 17 − 0 = 17
   Decimal place 1	170 ÷ 32	5	10	32 × 5 = 160, 170 − 160 = 10
   Decimal place 2	100 ÷ 32	3	4	32 × 3 = 96, 100 − 96 = 4
   Decimal place 3	40 ÷ 32	1	8	32 × 1 = 32, 40 − 32 = 8
   Decimal place 4	80 ÷ 32	2	16	32 × 2 = 64, 80 − 64 = 16
   Decimal place 5	160 ÷ 32	5	0	32 × 5 = 160, 160 − 160 = 0

2. Read off the decimal. The digits are read from the Digit column.

   = 17 \div 32 = \textcolor{#0b5c56}{0.53125}

3. Check with a shortcut. The denominator 32 can be made 100,000 by multiplying by 3125, so the decimal ends after 5 places.

   \frac{17}{32} = \frac{17 \times 3125}{32 \times 3125} = \frac{53{,}125}{100{,}000} = 0.53125

All the working together