Solve 336.752 divided by 31 in long division form

Solve 336.752 divided by 31 in long division form?

The correct answer and explanation is:

To solve 336.752 ÷ 31 using long division:

Step-by-Step Long Division:

1. Divide 336 by 31
   • 31 goes into 336 10 times (since 31 × 10 = 310).
   • Subtract: 336 − 310 = 26
   • Bring down the next digit, which is 7, to make 267
2. Divide 267 by 31
   • 31 goes into 267 8 times (since 31 × 8 = 248)
   • Subtract: 267 − 248 = 19
   • Bring down the next digit, 5, to make 195
3. Divide 195 by 31
   • 31 goes into 195 6 times (31 × 6 = 186)
   • Subtract: 195 − 186 = 9
   • Bring down the next digit, 2, to make 92
4. Divide 92 by 31
   • 31 goes into 92 2 times (31 × 2 = 62)
   • Subtract: 92 − 62 = 30
   • Bring down the next digit, which is 0, to make 300
   • (Note: we added a zero to continue the decimal)
5. Divide 300 by 31
   • 31 goes into 300 9 times (31 × 9 = 279)
   • Subtract: 300 − 279 = 21
   • Bring down another 0 to get 210
6. Divide 210 by 31
   • 31 goes into 210 6 times (31 × 6 = 186)
   • Subtract: 210 − 186 = 24
   • Bring down another 0 to get 240
7. Divide 240 by 31
   • 31 goes into 240 7 times (31 × 7 = 217)
   • Subtract: 240 − 217 = 23

Final Answer:

336.752 ÷ 31 = 10.864580… (approximately)

Or rounded to 5 decimal places:
10.86452

Explanation:

Long division is a method used to divide large numbers by breaking the division into a sequence of easier steps. You divide the leftmost part first, subtract, bring down the next digit, and repeat the process. Decimal division requires placing a decimal point in the quotient and bringing down digits after the decimal point. If the remainder continues, you can keep adding zeros to get a more precise answer. This technique helps in exact calculations when calculators are not used and helps build numerical fluency.