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Question
What is the quotient and remainder when $ 40936 $ is divided by $ 34 $ ?
Answer
The quotient is 1204 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 1 | 2 | 0 | 4 |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | 3 | |
| | | | – | 0 | |
| | | | 1 | 3 | 6 |
| | | – | 1 | 3 | 6 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
STEP 1: DIVIDE 4 : 34 = 0 with a remainder of 4
|
| | 0 | | | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
STEP 2: MULTIPLY 0 · 34 = 0
|
| | 0 | | | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| | 0 | | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | | | | |
STEP 4: BRING DOWN
|
| | 0 | | | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
STEP 5: DIVIDE 40 : 34 = 1 with a remainder of 6
|
| | 0 | 1 | | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
STEP 6: MULTIPLY 1 · 34 = 34
|
| | 0 | 1 | | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| | 3 | 4 | | | |
STEP 7: SUBTRACT 40 - 34 = 6
|
| | 0 | 1 | | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
STEP 9: DIVIDE 69 : 34 = 2 with a remainder of 1
|
| | 0 | 1 | 2 | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
STEP 10: MULTIPLY 2 · 34 = 68
|
| | 0 | 1 | 2 | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | | 6 | 8 | | |
STEP 11: SUBTRACT 69 - 68 = 1
|
| | 0 | 1 | 2 | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 2 | | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | 3 | |
STEP 13: DIVIDE 13 : 34 = 0 with a remainder of 13
|
| | 0 | 1 | 2 | 0 | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | 3 | |
STEP 14: MULTIPLY 0 · 34 = 0
|
| | 0 | 1 | 2 | 0 | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | 3 | |
| | | | | 0 | |
STEP 15: SUBTRACT 13 - 0 = 13
|
| | 0 | 1 | 2 | 0 | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | 3 | |
| | | | – | 0 | |
| | | | 1 | 3 | |
STEP 16: BRING DOWN
|
| | 0 | 1 | 2 | 0 | |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | 3 | |
| | | | – | 0 | |
| | | | 1 | 3 | 6 |
STEP 17: DIVIDE 136 : 34 = 4 with a remainder of 0
|
| | 0 | 1 | 2 | 0 | 4 |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | 3 | |
| | | | – | 0 | |
| | | | 1 | 3 | 6 |
STEP 18: MULTIPLY 4 · 34 = 136
|
| | 0 | 1 | 2 | 0 | 4 |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | 3 | |
| | | | – | 0 | |
| | | | 1 | 3 | 6 |
| | | | 1 | 3 | 6 |
STEP 19: SUBTRACT 136 - 136 = 0
|
| | 0 | 1 | 2 | 0 | 4 |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | 3 | |
| | | | – | 0 | |
| | | | 1 | 3 | 6 |
| | | – | 1 | 3 | 6 |
| | | | | | 0 |
STEP 19: SUBTRACT 136 - 136 = 0
|
| | 0 | 1 | 2 | 0 | 4 |
3 | 4 | 4 | 0 | 9 | 3 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 3 | 4 | | | |
| | | 6 | 9 | | |
| | – | 6 | 8 | | |
| | | | 1 | 3 | |
| | | | – | 0 | |
| | | | 1 | 3 | 6 |
| | | – | 1 | 3 | 6 |
| | | | | | 0 |
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