How to calculate 672 divided by 32 using long division?
Division is a fundamental arithmetic operation where we calculate how many times a number (divisor or denominator) can fit into another number (dividend or numerator). In this case, we are dividing 672 (the dividend) by 32 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 672 divided by 32 in decimal = 21
- 672 divided by 32 in fraction = 672/32
- 672 divided by 32 in percentage = 2,100%
What is the Quotient and Remainder of 672 divided by 32?
The quotient is calculated by dividing the dividend by the divisor, and the remainder is what's left over if the division doesn't result in a whole number. In this case, however, since 672 is a multiple of 32, there should be no remainder.
The quotient of 672 divided by 32 is 21, and the remainder is 0. Thus,
672 ÷ 32 = 21 R 0
When you divide Six Hundred And Seventy Two by Thirty Two, the quotient is Twenty One, and the remainder is Zero.
Let's calculate 672 divided by 32 using long division
Step 1:
3 | 2 | ⟌ | 6 | 7 | 2 |
Step 2:
0 | |||||
3 | 2 | ⟌ | 6 | 7 | 2 |
- | 0 | ||||
6 | 7 |
Step 3:
0 | 2 | ||||
3 | 2 | ⟌ | 6 | 7 | 2 |
- | 0 | ||||
6 | 7 | ||||
- | 6 | 4 | |||
3 |
Step 4:
0 | 2 | ||||
3 | 2 | ⟌ | 6 | 7 | 2 |
- | 0 | ||||
6 | 7 | ||||
- | 6 | 4 | |||
3 | 2 |
Step 5:
0 | 2 | 1 | ||||
3 | 2 | ⟌ | 6 | 7 | 2 | |
- | 0 | |||||
6 | 7 | |||||
- | 6 | 4 | ||||
3 | 2 | |||||
- | 3 | 2 | ||||
0 |
Verdict
The division of 672 by 32 results in a quotient of 21 and a remainder of 0, meaning 32 goes into 672 Twenty One times with 0 left over. Understanding this division process is crucial in both basic arithmetic and real-life applications where division is used, such as in financial calculations, data analysis, and everyday problem-solving.