Long Division: 948 ÷ 7
"Long Division Calculator" Calculator
How to divide 948 by 7 using long division and find the remainder?
Answer
948 ÷ 7 = 135 remainder 3
948 ÷ 7 = 135 remainder 3
Visual Long Division
1
3
5
7
9
4
8
−
72
4
−
21
3
8
−
35
3
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 948 ÷ 7 using long division method step by step:
Step 1:Take the number 9 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 9 - 7 = 2. The remainder 2 is carried to the next step.
Step 2:Take the number 24 and divide by 7. We get 3 (write it in the quotient). Multiply 3 × 7 = 21 (write it below the dividend). Subtract 24 - 21 = 3. The remainder 3 is carried to the next step.
Step 3:Take the number 38 and divide by 7. We get 5 (write it in the quotient). Multiply 5 × 7 = 35 (write it below the dividend). Subtract 38 - 35 = 3. The remainder 3 is carried to the next step.
Final Step:The remainder 3 is smaller than the divisor 7, so the division is complete. The final answer is 135 with remainder 3.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 9 | 1 | 1 × 7 = 7 | 9 - 7 = 2 | 2 |
| 2 | 24 | 3 | 3 × 7 = 21 | 24 - 21 = 3 | 3 |
| 3 | 38 | 5 | 5 × 7 = 35 | 38 - 35 = 3 | 3 |
Final remainder: 3
Since 3 is less than 7, we cannot divide further. The final answer is 135 with remainder 3.
About Long Division
Long division is a method for dividing large numbers that breaks down the division process into smaller, manageable steps. It's taught in elementary school as a systematic way to perform division by hand.
The process involves:
- Dividing the leftmost digits of the dividend by the divisor
- Writing the quotient digit above the dividend
- Multiplying the quotient digit by the divisor
- Subtracting this product from the current dividend portion
- Bringing down the next digit and repeating the process
This method ensures accuracy and helps students understand the relationship between multiplication and division.
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See Also
- Number Facts & Properties - All information about a specific number (spelling, factors, prime check, binary, hexadecimal, QR Code, Barcode and more)
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
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Long Division Table
| Division | Quotient | Remainder |
|---|---|---|
| 941 ÷ 7 | 134 | 3 |
| 942 ÷ 7 | 134 | 4 |
| 943 ÷ 7 | 134 | 5 |
| 944 ÷ 7 | 134 | 6 |
| 945 ÷ 7 | 135 | 0 |
| 946 ÷ 7 | 135 | 1 |
| 947 ÷ 7 | 135 | 2 |
| 948 ÷ 7 | 135 | 3 |
| 949 ÷ 7 | 135 | 4 |
| 950 ÷ 7 | 135 | 5 |
| 951 ÷ 7 | 135 | 6 |
| 952 ÷ 7 | 136 | 0 |
| 953 ÷ 7 | 136 | 1 |
| 954 ÷ 7 | 136 | 2 |
| 955 ÷ 7 | 136 | 3 |
About "Long Division Calculator" Calculator
Long division calculator with step-by-step explanation. Enter dividend and divisor to get a detailed solution with visualization. For example, it can help you find out how to divide 948 by 7 using long division and find the remainder? (The answer is: When dividing 948 by 7, we get quotient 135 and remainder 3. Result: 948 ÷ 7 = 135 remainder 3.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.