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Question
What is the quotient and remainder when $ 4871 $ is divided by $ 34 $ ?
Answer
The quotient is 143 and the remainder is 9.
Explanation
Division Table
|
| | 0 | 1 | 4 | 3 |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | 7 | |
| – | 1 | 3 | 6 | |
| | | 1 | 1 | 1 |
| | – | 1 | 0 | 2 |
| | | | | 9 |
STEP 0: set up a division table
|
| | | | | |
3 | 4 | 4 | 8 | 7 | 1 |
STEP 1: DIVIDE 4 : 34 = 0 with a remainder of 4
|
| | 0 | | | |
3 | 4 | 4 | 8 | 7 | 1 |
STEP 2: MULTIPLY 0 · 34 = 0
|
| | 0 | | | |
3 | 4 | 4 | 8 | 7 | 1 |
| | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
STEP 5: DIVIDE 48 : 34 = 1 with a remainder of 14
|
| | 0 | 1 | | |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
STEP 6: MULTIPLY 1 · 34 = 34
|
| | 0 | 1 | | |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| | 3 | 4 | | |
STEP 7: SUBTRACT 48 - 34 = 14
|
| | 0 | 1 | | |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | 7 | |
STEP 9: DIVIDE 147 : 34 = 4 with a remainder of 11
|
| | 0 | 1 | 4 | |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | 7 | |
STEP 10: MULTIPLY 4 · 34 = 136
|
| | 0 | 1 | 4 | |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | 7 | |
| | 1 | 3 | 6 | |
STEP 11: SUBTRACT 147 - 136 = 11
|
| | 0 | 1 | 4 | |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | 7 | |
| – | 1 | 3 | 6 | |
| | | 1 | 1 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 4 | |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | 7 | |
| – | 1 | 3 | 6 | |
| | | 1 | 1 | 1 |
STEP 13: DIVIDE 111 : 34 = 3 with a remainder of 9
|
| | 0 | 1 | 4 | 3 |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | 7 | |
| – | 1 | 3 | 6 | |
| | | 1 | 1 | 1 |
STEP 14: MULTIPLY 3 · 34 = 102
|
| | 0 | 1 | 4 | 3 |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | 7 | |
| – | 1 | 3 | 6 | |
| | | 1 | 1 | 1 |
| | | 1 | 0 | 2 |
STEP 15: SUBTRACT 111 - 102 = 9
|
| | 0 | 1 | 4 | 3 |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | 7 | |
| – | 1 | 3 | 6 | |
| | | 1 | 1 | 1 |
| | – | 1 | 0 | 2 |
| | | | | 9 |
STEP 15: SUBTRACT 111 - 102 = 9
|
| | 0 | 1 | 4 | 3 |
3 | 4 | 4 | 8 | 7 | 1 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 3 | 4 | | |
| | 1 | 4 | 7 | |
| – | 1 | 3 | 6 | |
| | | 1 | 1 | 1 |
| | – | 1 | 0 | 2 |
| | | | | 9 |
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