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Question
What is the quotient and remainder when $ 2124 $ is divided by $ 36 $ ?
Answer
The quotient is 59 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 5 | 9 |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | 2 | |
| | – | 1 | 8 | 0 | |
| | | | 3 | 2 | 4 |
| | | – | 3 | 2 | 4 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 6 | 2 | 1 | 2 | 4 |
STEP 1: DIVIDE 2 : 36 = 0 with a remainder of 2
|
| | | 0 | | | |
| 3 | 6 | 2 | 1 | 2 | 4 |
STEP 2: MULTIPLY 0 · 36 = 0
|
| | | 0 | | | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
STEP 5: DIVIDE 21 : 36 = 0 with a remainder of 21
|
| | | 0 | 0 | | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
STEP 6: MULTIPLY 0 · 36 = 0
|
| | | 0 | 0 | | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 21 - 0 = 21
|
| | | 0 | 0 | | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | 2 | |
STEP 9: DIVIDE 212 : 36 = 5 with a remainder of 32
|
| | | 0 | 0 | 5 | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | 2 | |
STEP 10: MULTIPLY 5 · 36 = 180
|
| | | 0 | 0 | 5 | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | 2 | |
| | | 1 | 8 | 0 | |
STEP 11: SUBTRACT 212 - 180 = 32
|
| | | 0 | 0 | 5 | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | 2 | |
| | – | 1 | 8 | 0 | |
| | | | 3 | 2 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 5 | |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | 2 | |
| | – | 1 | 8 | 0 | |
| | | | 3 | 2 | 4 |
STEP 13: DIVIDE 324 : 36 = 9 with a remainder of 0
|
| | | 0 | 0 | 5 | 9 |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | 2 | |
| | – | 1 | 8 | 0 | |
| | | | 3 | 2 | 4 |
STEP 14: MULTIPLY 9 · 36 = 324
|
| | | 0 | 0 | 5 | 9 |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | 2 | |
| | – | 1 | 8 | 0 | |
| | | | 3 | 2 | 4 |
| | | | 3 | 2 | 4 |
STEP 15: SUBTRACT 324 - 324 = 0
|
| | | 0 | 0 | 5 | 9 |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | 2 | |
| | – | 1 | 8 | 0 | |
| | | | 3 | 2 | 4 |
| | | – | 3 | 2 | 4 |
| | | | | | 0 |
STEP 15: SUBTRACT 324 - 324 = 0
|
| | | 0 | 0 | 5 | 9 |
| 3 | 6 | 2 | 1 | 2 | 4 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | – | 0 | | |
| | | 2 | 1 | 2 | |
| | – | 1 | 8 | 0 | |
| | | | 3 | 2 | 4 |
| | | – | 3 | 2 | 4 |
| | | | | | 0 |
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