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Question
What is the quotient and remainder when $ 93209 $ is divided by $ 3 $ ?
Answer
The quotient is 31069 and the remainder is 2.
Explanation
|
Division Table
|
| | 3 | 1 | 0 | 6 | 9 |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | 0 | | | |
| – | 1 | 8 | | | |
| | | 2 | 9 | | |
| | – | 2 | 7 | | |
| | | | 2 | | |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
STEP 1: DIVIDE 9 : 3 = 3 with a remainder of 0
|
| | 3 | | | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
STEP 2: MULTIPLY 3 · 3 = 9
|
| | 3 | | | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| | 9 | | | | |
STEP 3: SUBTRACT 9 - 9 = 0
|
| | 3 | | | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 0 | | | | |
|
STEP 4: BRING DOWN
|
| | 3 | | | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
STEP 5: DIVIDE 3 : 3 = 1 with a remainder of 0
|
| | 3 | 1 | | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
STEP 6: MULTIPLY 1 · 3 = 3
|
| | 3 | 1 | | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| | 3 | | | | |
STEP 7: SUBTRACT 3 - 3 = 0
|
| | 3 | 1 | | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 0 | | | | |
|
STEP 8: BRING DOWN
|
| | 3 | 1 | | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
STEP 9: DIVIDE 2 : 3 = 0 with a remainder of 2
|
| | 3 | 1 | 0 | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
STEP 10: MULTIPLY 0 · 3 = 0
|
| | 3 | 1 | 0 | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| | 0 | | | | |
STEP 11: SUBTRACT 2 - 0 = 2
|
| | 3 | 1 | 0 | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | | | | |
|
STEP 12: BRING DOWN
|
| | 3 | 1 | 0 | | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | 0 | | | |
STEP 13: DIVIDE 20 : 3 = 6 with a remainder of 2
|
| | 3 | 1 | 0 | 6 | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | 0 | | | |
STEP 14: MULTIPLY 6 · 3 = 18
|
| | 3 | 1 | 0 | 6 | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | 0 | | | |
| | 1 | 8 | | | |
STEP 15: SUBTRACT 20 - 18 = 2
|
| | 3 | 1 | 0 | 6 | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | 0 | | | |
| – | 1 | 8 | | | |
| | | 2 | | | |
|
STEP 16: BRING DOWN
|
| | 3 | 1 | 0 | 6 | |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | 0 | | | |
| – | 1 | 8 | | | |
| | | 2 | 9 | | |
STEP 17: DIVIDE 29 : 3 = 9 with a remainder of 2
|
| | 3 | 1 | 0 | 6 | 9 |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | 0 | | | |
| – | 1 | 8 | | | |
| | | 2 | 9 | | |
STEP 18: MULTIPLY 9 · 3 = 27
|
| | 3 | 1 | 0 | 6 | 9 |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | 0 | | | |
| – | 1 | 8 | | | |
| | | 2 | 9 | | |
| | | 2 | 7 | | |
STEP 19: SUBTRACT 29 - 27 = 2
|
| | 3 | 1 | 0 | 6 | 9 |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | 0 | | | |
| – | 1 | 8 | | | |
| | | 2 | 9 | | |
| | – | 2 | 7 | | |
| | | | 2 | | |
STEP 19: SUBTRACT 29 - 27 = 2
|
| | 3 | 1 | 0 | 6 | 9 |
| 3 | 9 | 3 | 2 | 0 | 9 |
| – | 9 | | | | |
| | 3 | | | | |
| – | 3 | | | | |
| | 2 | | | | |
| – | 0 | | | | |
| | 2 | 0 | | | |
| – | 1 | 8 | | | |
| | | 2 | 9 | | |
| | – | 2 | 7 | | |
| | | | 2 | | |
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