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Question
What is the quotient and remainder when $ 2604 $ is divided by $ 4 $ ?
Answer
The quotient is 651 and the remainder is 0.
Explanation
Division Table
|
| 0 | 6 | 5 | 1 |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 4 | |
| | – | 4 | |
| | | 0 | |
STEP 0: set up a division table
|
| | | | |
4 | 2 | 6 | 0 | 4 |
STEP 1: DIVIDE 2 : 4 = 0 with a remainder of 2
|
| 0 | | | |
4 | 2 | 6 | 0 | 4 |
STEP 2: MULTIPLY 0 · 4 = 0
|
| 0 | | | |
4 | 2 | 6 | 0 | 4 |
| 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| 0 | | | |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
STEP 5: DIVIDE 26 : 4 = 6 with a remainder of 2
|
| 0 | 6 | | |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
STEP 6: MULTIPLY 6 · 4 = 24
|
| 0 | 6 | | |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
| 2 | 4 | | |
STEP 7: SUBTRACT 26 - 24 = 2
|
| 0 | 6 | | |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | | |
STEP 8: BRING DOWN
|
| 0 | 6 | | |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | 0 | |
STEP 9: DIVIDE 20 : 4 = 5 with a remainder of 0
|
| 0 | 6 | 5 | |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | 0 | |
STEP 10: MULTIPLY 5 · 4 = 20
|
| 0 | 6 | 5 | |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | 0 | |
| | 2 | 0 | |
STEP 11: SUBTRACT 20 - 20 = 0
|
| 0 | 6 | 5 | |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 0 | |
STEP 12: BRING DOWN
|
| 0 | 6 | 5 | |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 4 | |
STEP 13: DIVIDE 4 : 4 = 1 with a remainder of 0
|
| 0 | 6 | 5 | 1 |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 4 | |
STEP 14: MULTIPLY 1 · 4 = 4
|
| 0 | 6 | 5 | 1 |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 4 | |
| | | 4 | |
STEP 15: SUBTRACT 4 - 4 = 0
|
| 0 | 6 | 5 | 1 |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 4 | |
| | – | 4 | |
| | | 0 | |
STEP 15: SUBTRACT 4 - 4 = 0
|
| 0 | 6 | 5 | 1 |
4 | 2 | 6 | 0 | 4 |
– | 0 | | | |
| 2 | 6 | | |
– | 2 | 4 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 4 | |
| | – | 4 | |
| | | 0 | |
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