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Question
What is the quotient and remainder when $ 653 $ is divided by $ 4 $ ?
Answer
The quotient is 163 and the remainder is 1.
Explanation
|
Division Table
|
| | 1 | 6 | 3 |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 3 |
| | – | 1 | 2 |
| | | | 1 |
STEP 0: set up a division table
|
| | | | |
| 4 | 6 | 5 | 3 |
STEP 1: DIVIDE 6 : 4 = 1 with a remainder of 2
|
| | 1 | | |
| 4 | 6 | 5 | 3 |
STEP 2: MULTIPLY 1 · 4 = 4
|
| | 1 | | |
| 4 | 6 | 5 | 3 |
| | 4 | | |
STEP 3: SUBTRACT 6 - 4 = 2
|
| | 1 | | |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | | |
|
STEP 4: BRING DOWN
|
| | 1 | | |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | 5 | |
STEP 5: DIVIDE 25 : 4 = 6 with a remainder of 1
|
| | 1 | 6 | |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | 5 | |
STEP 6: MULTIPLY 6 · 4 = 24
|
| | 1 | 6 | |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | 5 | |
| | 2 | 4 | |
STEP 7: SUBTRACT 25 - 24 = 1
|
| | 1 | 6 | |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | |
|
STEP 8: BRING DOWN
|
| | 1 | 6 | |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 3 |
STEP 9: DIVIDE 13 : 4 = 3 with a remainder of 1
|
| | 1 | 6 | 3 |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 3 |
STEP 10: MULTIPLY 3 · 4 = 12
|
| | 1 | 6 | 3 |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 3 |
| | | 1 | 2 |
STEP 11: SUBTRACT 13 - 12 = 1
|
| | 1 | 6 | 3 |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 3 |
| | – | 1 | 2 |
| | | | 1 |
STEP 11: SUBTRACT 13 - 12 = 1
|
| | 1 | 6 | 3 |
| 4 | 6 | 5 | 3 |
| – | 4 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 3 |
| | – | 1 | 2 |
| | | | 1 |
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