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Question
What is the quotient and remainder when $ 390 $ is divided by $ 15 $ ?
Answer
The quotient is 26 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 6 |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | 9 | |
| | – | 3 | 0 | |
| | | | 9 | 0 |
| | | – | 9 | 0 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 5 | 3 | 9 | 0 |
STEP 1: DIVIDE 3 : 15 = 0 with a remainder of 3
|
| | | 0 | | |
| 1 | 5 | 3 | 9 | 0 |
STEP 2: MULTIPLY 0 · 15 = 0
|
| | | 0 | | |
| 1 | 5 | 3 | 9 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | 9 | |
STEP 5: DIVIDE 39 : 15 = 2 with a remainder of 9
|
| | | 0 | 2 | |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | 9 | |
STEP 6: MULTIPLY 2 · 15 = 30
|
| | | 0 | 2 | |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | 9 | |
| | | 3 | 0 | |
STEP 7: SUBTRACT 39 - 30 = 9
|
| | | 0 | 2 | |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | 9 | |
| | – | 3 | 0 | |
| | | | 9 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | 9 | |
| | – | 3 | 0 | |
| | | | 9 | 0 |
STEP 9: DIVIDE 90 : 15 = 6 with a remainder of 0
|
| | | 0 | 2 | 6 |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | 9 | |
| | – | 3 | 0 | |
| | | | 9 | 0 |
STEP 10: MULTIPLY 6 · 15 = 90
|
| | | 0 | 2 | 6 |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | 9 | |
| | – | 3 | 0 | |
| | | | 9 | 0 |
| | | | 9 | 0 |
STEP 11: SUBTRACT 90 - 90 = 0
|
| | | 0 | 2 | 6 |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | 9 | |
| | – | 3 | 0 | |
| | | | 9 | 0 |
| | | – | 9 | 0 |
| | | | | 0 |
STEP 11: SUBTRACT 90 - 90 = 0
|
| | | 0 | 2 | 6 |
| 1 | 5 | 3 | 9 | 0 |
| | – | 0 | | |
| | | 3 | 9 | |
| | – | 3 | 0 | |
| | | | 9 | 0 |
| | | – | 9 | 0 |
| | | | | 0 |
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