How to calculate 400 divided by 38 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 400 (the dividend) by 38 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 400 divided by 38 in decimal = 10.526315789474
- 400 divided by 38 in fraction = 400/38
- 400 divided by 38 in percentage = 1,052.6315789474%
What is the Quotient and Remainder of 400 divided by 38?
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.
The quotient of 400 divided by 38 is 10, and the remainder is 20. Thus,
400 ÷ 38 = 10 R 20
When you divide Four Hundred by Thirty Eight, the quotient is Ten, and the remainder is Twenty.
Let's calculate 400 divided by 38 using long division
Step 1:
3 | 8 | ⟌ | 4 | 0 | 0 |
Step 2:
0 | |||||
3 | 8 | ⟌ | 4 | 0 | 0 |
- | 0 | ||||
4 | 0 |
Step 3:
0 | 1 | ||||
3 | 8 | ⟌ | 4 | 0 | 0 |
- | 0 | ||||
4 | 0 | ||||
- | 3 | 8 | |||
2 |
Step 4:
0 | 1 | ||||
3 | 8 | ⟌ | 4 | 0 | 0 |
- | 0 | ||||
4 | 0 | ||||
- | 3 | 8 | |||
2 | 0 |
Step 5:
0 | 1 | 0 | ||||
3 | 8 | ⟌ | 4 | 0 | 0 | |
- | 0 | |||||
4 | 0 | |||||
- | 3 | 8 | ||||
2 | 0 | |||||
- | 0 | |||||
2 | 0 |
Verdict
The division of 400 by 38 results in a quotient of 10 and a remainder of 20, meaning 38 goes into 400 Ten times with 20 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.