How to calculate 1088 divided by 34 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 1,088 (the dividend) by 34 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,088 divided by 34 in decimal = 32
- 1,088 divided by 34 in fraction = 1,088/34
- 1,088 divided by 34 in percentage = 3,200%
What is the Quotient and Remainder of 1,088 divided by 34?
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 1,088 is a multiple of 34, there should be no remainder.
The quotient of 1,088 divided by 34 is 32, and the remainder is 0. Thus,
1,088 ÷ 34 = 32 R 0
When you divide One Thousand And Eighty Eight by Thirty Four, the quotient is Thirty Two, and the remainder is Zero.
Let's calculate 1,088 divided by 34 using long division
Step 1:
3 | 4 | ⟌ | 1 | 0 | 8 | 8 |
Step 2:
0 | ||||||
3 | 4 | ⟌ | 1 | 0 | 8 | 8 |
- | 0 | |||||
1 | 0 |
Step 3:
0 | 0 | |||||
3 | 4 | ⟌ | 1 | 0 | 8 | 8 |
- | 0 | |||||
1 | 0 | |||||
- | 0 | |||||
1 | 0 | 8 |
Step 4:
0 | 0 | 3 | ||||
3 | 4 | ⟌ | 1 | 0 | 8 | 8 |
- | 0 | |||||
1 | 0 | |||||
- | 0 | |||||
1 | 0 | 8 | ||||
- | 1 | 0 | 2 | |||
6 |
Step 5:
0 | 0 | 3 | ||||
3 | 4 | ⟌ | 1 | 0 | 8 | 8 |
- | 0 | |||||
1 | 0 | |||||
- | 0 | |||||
1 | 0 | 8 | ||||
- | 1 | 0 | 2 | |||
6 | 8 |
Step 6:
0 | 0 | 3 | 2 | ||||
3 | 4 | ⟌ | 1 | 0 | 8 | 8 | |
- | 0 | ||||||
1 | 0 | ||||||
- | 0 | ||||||
1 | 0 | 8 | |||||
- | 1 | 0 | 2 | ||||
6 | 8 | ||||||
- | 6 | 8 | |||||
0 |
Verdict
The division of 1,088 by 34 results in a quotient of 32 and a remainder of 0, meaning 34 goes into 1,088 Thirty Two 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.