How to calculate 126 divided by 13 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 126 (the dividend) by 13 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 126 divided by 13 in decimal = 9.6923076923077
- 126 divided by 13 in fraction = 126/13
- 126 divided by 13 in percentage = 969.23076923077%
What is the Quotient and Remainder of 126 divided by 13?
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 126 divided by 13 is 9, and the remainder is 9. Thus,
126 ÷ 13 = 9 R 9
When you divide One Hundred And Twenty Six by Thirteen, the quotient is Nine, and the remainder is Nine.
Let's calculate 126 divided by 13 using long division
Step 1:
1 | 3 | ⟌ | 1 | 2 | 6 |
Step 2:
0 | |||||
1 | 3 | ⟌ | 1 | 2 | 6 |
- | 0 | ||||
1 | 2 |
Step 3:
0 | 0 | ||||
1 | 3 | ⟌ | 1 | 2 | 6 |
- | 0 | ||||
1 | 2 | ||||
- | 0 | ||||
1 | 2 |
Step 4:
0 | 0 | ||||
1 | 3 | ⟌ | 1 | 2 | 6 |
- | 0 | ||||
1 | 2 | ||||
- | 0 | ||||
1 | 2 | 6 |
Step 5:
0 | 0 | 9 | ||||
1 | 3 | ⟌ | 1 | 2 | 6 | |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 6 | ||||
- | 1 | 1 | 7 | |||
9 |
Verdict
The division of 126 by 13 results in a quotient of 9 and a remainder of 9, meaning 13 goes into 126 Nine times with 9 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.