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Question
What is the quotient and remainder when $ 816 $ is divided by $ 39 $ ?
Answer
The quotient is 20 and the remainder is 36.
Explanation
|
Division Table
|
| | | 0 | 2 | 0 |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 7 | 8 | |
| | | | 3 | 6 |
| | | | – | 0 |
| | | | 3 | 6 |
STEP 0: set up a division table
|
| | | | | |
| 3 | 9 | 8 | 1 | 6 |
STEP 1: DIVIDE 8 : 39 = 0 with a remainder of 8
|
| | | 0 | | |
| 3 | 9 | 8 | 1 | 6 |
STEP 2: MULTIPLY 0 · 39 = 0
|
| | | 0 | | |
| 3 | 9 | 8 | 1 | 6 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
STEP 5: DIVIDE 81 : 39 = 2 with a remainder of 3
|
| | | 0 | 2 | |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
STEP 6: MULTIPLY 2 · 39 = 78
|
| | | 0 | 2 | |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | | 7 | 8 | |
STEP 7: SUBTRACT 81 - 78 = 3
|
| | | 0 | 2 | |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 7 | 8 | |
| | | | 3 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 7 | 8 | |
| | | | 3 | 6 |
STEP 9: DIVIDE 36 : 39 = 0 with a remainder of 36
|
| | | 0 | 2 | 0 |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 7 | 8 | |
| | | | 3 | 6 |
STEP 10: MULTIPLY 0 · 39 = 0
|
| | | 0 | 2 | 0 |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 7 | 8 | |
| | | | 3 | 6 |
| | | | | 0 |
STEP 11: SUBTRACT 36 - 0 = 36
|
| | | 0 | 2 | 0 |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 7 | 8 | |
| | | | 3 | 6 |
| | | | – | 0 |
| | | | 3 | 6 |
STEP 11: SUBTRACT 36 - 0 = 36
|
| | | 0 | 2 | 0 |
| 3 | 9 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 7 | 8 | |
| | | | 3 | 6 |
| | | | – | 0 |
| | | | 3 | 6 |
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