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Question
What is the quotient and remainder when $ 4320 $ is divided by $ 36 $ ?
Answer
The quotient is 120 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 1 | 2 | 0 |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | 2 | |
| | | – | 7 | 2 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 6 | 4 | 3 | 2 | 0 |
STEP 1: DIVIDE 4 : 36 = 0 with a remainder of 4
|
| | | 0 | | | |
| 3 | 6 | 4 | 3 | 2 | 0 |
STEP 2: MULTIPLY 0 · 36 = 0
|
| | | 0 | | | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
STEP 5: DIVIDE 43 : 36 = 1 with a remainder of 7
|
| | | 0 | 1 | | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
STEP 6: MULTIPLY 1 · 36 = 36
|
| | | 0 | 1 | | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | 3 | 6 | | |
STEP 7: SUBTRACT 43 - 36 = 7
|
| | | 0 | 1 | | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | 2 | |
STEP 9: DIVIDE 72 : 36 = 2 with a remainder of 0
|
| | | 0 | 1 | 2 | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | 2 | |
STEP 10: MULTIPLY 2 · 36 = 72
|
| | | 0 | 1 | 2 | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | 2 | |
| | | | 7 | 2 | |
STEP 11: SUBTRACT 72 - 72 = 0
|
| | | 0 | 1 | 2 | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | 2 | |
| | | – | 7 | 2 | |
| | | | | 0 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 2 | |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | 2 | |
| | | – | 7 | 2 | |
| | | | | 0 | |
STEP 13: DIVIDE 0 : 36 = 0 with a remainder of 0
|
| | | 0 | 1 | 2 | 0 |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | 2 | |
| | | – | 7 | 2 | |
| | | | | 0 | |
STEP 14: MULTIPLY 0 · 36 = 0
|
| | | 0 | 1 | 2 | 0 |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | 2 | |
| | | – | 7 | 2 | |
| | | | | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 1 | 2 | 0 |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | 2 | |
| | | – | 7 | 2 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 1 | 2 | 0 |
| 3 | 6 | 4 | 3 | 2 | 0 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | – | 3 | 6 | | |
| | | | 7 | 2 | |
| | | – | 7 | 2 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
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