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Question
What is the quotient and remainder when $ 71232 $ is divided by $ 3 $ ?
Answer
The quotient is 23744 and the remainder is 0.
Explanation
|
Division Table
|
| | 2 | 3 | 7 | 4 | 4 |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | 3 | |
| | | – | 1 | 2 | |
| | | | | 1 | 2 |
| | | | – | 1 | 2 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
STEP 1: DIVIDE 7 : 3 = 2 with a remainder of 1
|
| | 2 | | | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
STEP 2: MULTIPLY 2 · 3 = 6
|
| | 2 | | | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| | 6 | | | | |
STEP 3: SUBTRACT 7 - 6 = 1
|
| | 2 | | | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | | | | |
|
STEP 4: BRING DOWN
|
| | 2 | | | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
STEP 5: DIVIDE 11 : 3 = 3 with a remainder of 2
|
| | 2 | 3 | | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
STEP 6: MULTIPLY 3 · 3 = 9
|
| | 2 | 3 | | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | | 9 | | | |
STEP 7: SUBTRACT 11 - 9 = 2
|
| | 2 | 3 | | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | | | |
|
STEP 8: BRING DOWN
|
| | 2 | 3 | | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
STEP 9: DIVIDE 22 : 3 = 7 with a remainder of 1
|
| | 2 | 3 | 7 | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
STEP 10: MULTIPLY 7 · 3 = 21
|
| | 2 | 3 | 7 | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | | 2 | 1 | | |
STEP 11: SUBTRACT 22 - 21 = 1
|
| | 2 | 3 | 7 | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | | |
|
STEP 12: BRING DOWN
|
| | 2 | 3 | 7 | | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | 3 | |
STEP 13: DIVIDE 13 : 3 = 4 with a remainder of 1
|
| | 2 | 3 | 7 | 4 | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | 3 | |
STEP 14: MULTIPLY 4 · 3 = 12
|
| | 2 | 3 | 7 | 4 | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | 3 | |
| | | | 1 | 2 | |
STEP 15: SUBTRACT 13 - 12 = 1
|
| | 2 | 3 | 7 | 4 | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | 3 | |
| | | – | 1 | 2 | |
| | | | | 1 | |
|
STEP 16: BRING DOWN
|
| | 2 | 3 | 7 | 4 | |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | 3 | |
| | | – | 1 | 2 | |
| | | | | 1 | 2 |
STEP 17: DIVIDE 12 : 3 = 4 with a remainder of 0
|
| | 2 | 3 | 7 | 4 | 4 |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | 3 | |
| | | – | 1 | 2 | |
| | | | | 1 | 2 |
STEP 18: MULTIPLY 4 · 3 = 12
|
| | 2 | 3 | 7 | 4 | 4 |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | 3 | |
| | | – | 1 | 2 | |
| | | | | 1 | 2 |
| | | | | 1 | 2 |
STEP 19: SUBTRACT 12 - 12 = 0
|
| | 2 | 3 | 7 | 4 | 4 |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | 3 | |
| | | – | 1 | 2 | |
| | | | | 1 | 2 |
| | | | – | 1 | 2 |
| | | | | | 0 |
STEP 19: SUBTRACT 12 - 12 = 0
|
| | 2 | 3 | 7 | 4 | 4 |
| 3 | 7 | 1 | 2 | 3 | 2 |
| – | 6 | | | | |
| | 1 | 1 | | | |
| | – | 9 | | | |
| | | 2 | 2 | | |
| | – | 2 | 1 | | |
| | | | 1 | 3 | |
| | | – | 1 | 2 | |
| | | | | 1 | 2 |
| | | | – | 1 | 2 |
| | | | | | 0 |
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