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Question
What is the quotient and remainder when $ 4956 $ is divided by $ 3 $ ?
Answer
The quotient is 1652 and the remainder is 0.
Explanation
|
Division Table
|
| | 1 | 6 | 5 | 2 |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | 5 | |
| | – | 1 | 5 | |
| | | | 6 | |
| | | – | 6 | |
| | | | 0 | |
STEP 0: set up a division table
|
| | | | | |
| 3 | 4 | 9 | 5 | 6 |
STEP 1: DIVIDE 4 : 3 = 1 with a remainder of 1
|
| | 1 | | | |
| 3 | 4 | 9 | 5 | 6 |
STEP 2: MULTIPLY 1 · 3 = 3
|
| | 1 | | | |
| 3 | 4 | 9 | 5 | 6 |
| | 3 | | | |
STEP 3: SUBTRACT 4 - 3 = 1
|
| | 1 | | | |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
STEP 5: DIVIDE 19 : 3 = 6 with a remainder of 1
|
| | 1 | 6 | | |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
STEP 6: MULTIPLY 6 · 3 = 18
|
| | 1 | 6 | | |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| | 1 | 8 | | |
STEP 7: SUBTRACT 19 - 18 = 1
|
| | 1 | 6 | | |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 6 | | |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | 5 | |
STEP 9: DIVIDE 15 : 3 = 5 with a remainder of 0
|
| | 1 | 6 | 5 | |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | 5 | |
STEP 10: MULTIPLY 5 · 3 = 15
|
| | 1 | 6 | 5 | |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | 5 | |
| | | 1 | 5 | |
STEP 11: SUBTRACT 15 - 15 = 0
|
| | 1 | 6 | 5 | |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | 5 | |
| | – | 1 | 5 | |
| | | | 0 | |
|
STEP 12: BRING DOWN
|
| | 1 | 6 | 5 | |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | 5 | |
| | – | 1 | 5 | |
| | | | 6 | |
STEP 13: DIVIDE 6 : 3 = 2 with a remainder of 0
|
| | 1 | 6 | 5 | 2 |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | 5 | |
| | – | 1 | 5 | |
| | | | 6 | |
STEP 14: MULTIPLY 2 · 3 = 6
|
| | 1 | 6 | 5 | 2 |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | 5 | |
| | – | 1 | 5 | |
| | | | 6 | |
| | | | 6 | |
STEP 15: SUBTRACT 6 - 6 = 0
|
| | 1 | 6 | 5 | 2 |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | 5 | |
| | – | 1 | 5 | |
| | | | 6 | |
| | | – | 6 | |
| | | | 0 | |
STEP 15: SUBTRACT 6 - 6 = 0
|
| | 1 | 6 | 5 | 2 |
| 3 | 4 | 9 | 5 | 6 |
| – | 3 | | | |
| | 1 | 9 | | |
| – | 1 | 8 | | |
| | | 1 | 5 | |
| | – | 1 | 5 | |
| | | | 6 | |
| | | – | 6 | |
| | | | 0 | |
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