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Question
What is the quotient and remainder when $ 520 $ is divided by $ 4 $ ?
Answer
The quotient is 130 and the remainder is 0.
Explanation
Division Table
|
| 1 | 3 | 0 |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | 2 | |
– | 1 | 2 | |
| | 0 | |
| – | 0 | |
| | 0 | |
STEP 0: set up a division table
|
| | | |
4 | 5 | 2 | 0 |
STEP 1: DIVIDE 5 : 4 = 1 with a remainder of 1
|
| 1 | | |
4 | 5 | 2 | 0 |
STEP 2: MULTIPLY 1 · 4 = 4
|
| 1 | | |
4 | 5 | 2 | 0 |
| 4 | | |
STEP 3: SUBTRACT 5 - 4 = 1
|
| 1 | | |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | | |
STEP 4: BRING DOWN
|
| 1 | | |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | 2 | |
STEP 5: DIVIDE 12 : 4 = 3 with a remainder of 0
|
| 1 | 3 | |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | 2 | |
STEP 6: MULTIPLY 3 · 4 = 12
|
| 1 | 3 | |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | 2 | |
| 1 | 2 | |
STEP 7: SUBTRACT 12 - 12 = 0
|
| 1 | 3 | |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | 2 | |
– | 1 | 2 | |
| | 0 | |
STEP 8: BRING DOWN
|
| 1 | 3 | |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | 2 | |
– | 1 | 2 | |
| | 0 | |
STEP 9: DIVIDE 0 : 4 = 0 with a remainder of 0
|
| 1 | 3 | 0 |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | 2 | |
– | 1 | 2 | |
| | 0 | |
STEP 10: MULTIPLY 0 · 4 = 0
|
| 1 | 3 | 0 |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | 2 | |
– | 1 | 2 | |
| | 0 | |
| | 0 | |
STEP 11: SUBTRACT 0 - 0 = 0
|
| 1 | 3 | 0 |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | 2 | |
– | 1 | 2 | |
| | 0 | |
| – | 0 | |
| | 0 | |
STEP 11: SUBTRACT 0 - 0 = 0
|
| 1 | 3 | 0 |
4 | 5 | 2 | 0 |
– | 4 | | |
| 1 | 2 | |
– | 1 | 2 | |
| | 0 | |
| – | 0 | |
| | 0 | |
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