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Question
What is the quotient and remainder when $ 5846 $ is divided by $ 36 $ ?
Answer
The quotient is 162 and the remainder is 14.
Explanation
|
Division Table
|
| | | 0 | 1 | 6 | 2 |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 6 |
| | | | – | 7 | 2 |
| | | | | 1 | 4 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 6 | 5 | 8 | 4 | 6 |
STEP 1: DIVIDE 5 : 36 = 0 with a remainder of 5
|
| | | 0 | | | |
| 3 | 6 | 5 | 8 | 4 | 6 |
STEP 2: MULTIPLY 0 · 36 = 0
|
| | | 0 | | | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
STEP 5: DIVIDE 58 : 36 = 1 with a remainder of 22
|
| | | 0 | 1 | | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
STEP 6: MULTIPLY 1 · 36 = 36
|
| | | 0 | 1 | | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | | 3 | 6 | | |
STEP 7: SUBTRACT 58 - 36 = 22
|
| | | 0 | 1 | | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | 4 | |
STEP 9: DIVIDE 224 : 36 = 6 with a remainder of 8
|
| | | 0 | 1 | 6 | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | 4 | |
STEP 10: MULTIPLY 6 · 36 = 216
|
| | | 0 | 1 | 6 | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | 4 | |
| | | 2 | 1 | 6 | |
STEP 11: SUBTRACT 224 - 216 = 8
|
| | | 0 | 1 | 6 | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 6 | |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 6 |
STEP 13: DIVIDE 86 : 36 = 2 with a remainder of 14
|
| | | 0 | 1 | 6 | 2 |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 6 |
STEP 14: MULTIPLY 2 · 36 = 72
|
| | | 0 | 1 | 6 | 2 |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 6 |
| | | | | 7 | 2 |
STEP 15: SUBTRACT 86 - 72 = 14
|
| | | 0 | 1 | 6 | 2 |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 6 |
| | | | – | 7 | 2 |
| | | | | 1 | 4 |
STEP 15: SUBTRACT 86 - 72 = 14
|
| | | 0 | 1 | 6 | 2 |
| 3 | 6 | 5 | 8 | 4 | 6 |
| | – | 0 | | | |
| | | 5 | 8 | | |
| | – | 3 | 6 | | |
| | | 2 | 2 | 4 | |
| | – | 2 | 1 | 6 | |
| | | | | 8 | 6 |
| | | | – | 7 | 2 |
| | | | | 1 | 4 |
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