How to calculate 428 divided by 7 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 428 (the dividend) by 7 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 428 divided by 7 in decimal = 61.142857142857
- 428 divided by 7 in fraction = 428/7
- 428 divided by 7 in percentage = 6,114.2857142857%
What is the Quotient and Remainder of 428 divided by 7?
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 428 divided by 7 is 61, and the remainder is 1. Thus,
428 ÷ 7 = 61 R 1
When you divide Four Hundred And Twenty Eight by Seven, the quotient is Sixty One, and the remainder is One.
Let's calculate 428 divided by 7 using long division
Step 1:
7 | ⟌ | 4 | 2 | 8 |
Step 2:
0 | ||||
7 | ⟌ | 4 | 2 | 8 |
- | 0 | |||
4 | 2 |
Step 3:
0 | 6 | |||
7 | ⟌ | 4 | 2 | 8 |
- | 0 | |||
4 | 2 | |||
- | 4 | 2 | ||
0 |
Step 4:
0 | 6 | |||
7 | ⟌ | 4 | 2 | 8 |
- | 0 | |||
4 | 2 | |||
- | 4 | 2 | ||
0 | 8 |
Step 5:
0 | 6 | 1 | |||
7 | ⟌ | 4 | 2 | 8 | |
- | 0 | ||||
4 | 2 | ||||
- | 4 | 2 | |||
0 | 8 | ||||
- | 7 | ||||
1 |
Verdict
The division of 428 by 7 results in a quotient of 61 and a remainder of 1, meaning 7 goes into 428 Sixty One times with 1 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.