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Question
What is the quotient and remainder when $ 291 $ is divided by $ 4 $ ?
Answer
The quotient is 72 and the remainder is 3.
Explanation
|
Division Table
|
| | 0 | 7 | 2 |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 1 |
| | | – | 8 |
| | | | 3 |
STEP 0: set up a division table
|
| | | | |
| 4 | 2 | 9 | 1 |
STEP 1: DIVIDE 2 : 4 = 0 with a remainder of 2
|
| | 0 | | |
| 4 | 2 | 9 | 1 |
STEP 2: MULTIPLY 0 · 4 = 0
|
| | 0 | | |
| 4 | 2 | 9 | 1 |
| | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | 9 | |
STEP 5: DIVIDE 29 : 4 = 7 with a remainder of 1
|
| | 0 | 7 | |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | 9 | |
STEP 6: MULTIPLY 7 · 4 = 28
|
| | 0 | 7 | |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | 9 | |
| | 2 | 8 | |
STEP 7: SUBTRACT 29 - 28 = 1
|
| | 0 | 7 | |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | |
|
STEP 8: BRING DOWN
|
| | 0 | 7 | |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 1 |
STEP 9: DIVIDE 11 : 4 = 2 with a remainder of 3
|
| | 0 | 7 | 2 |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 1 |
STEP 10: MULTIPLY 2 · 4 = 8
|
| | 0 | 7 | 2 |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 1 |
| | | | 8 |
STEP 11: SUBTRACT 11 - 8 = 3
|
| | 0 | 7 | 2 |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 1 |
| | | – | 8 |
| | | | 3 |
STEP 11: SUBTRACT 11 - 8 = 3
|
| | 0 | 7 | 2 |
| 4 | 2 | 9 | 1 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 1 |
| | | – | 8 |
| | | | 3 |
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