◀ back to index
Question
What is the quotient and remainder when $ 3695 $ is divided by $ 15 $ ?
Answer
The quotient is 246 and the remainder is 5.
Explanation
|
Division Table
|
| | | 0 | 2 | 4 | 6 |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | 9 | |
| | | – | 6 | 0 | |
| | | | | 9 | 5 |
| | | | – | 9 | 0 |
| | | | | | 5 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 5 | 3 | 6 | 9 | 5 |
STEP 1: DIVIDE 3 : 15 = 0 with a remainder of 3
|
| | | 0 | | | |
| 1 | 5 | 3 | 6 | 9 | 5 |
STEP 2: MULTIPLY 0 · 15 = 0
|
| | | 0 | | | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
STEP 5: DIVIDE 36 : 15 = 2 with a remainder of 6
|
| | | 0 | 2 | | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
STEP 6: MULTIPLY 2 · 15 = 30
|
| | | 0 | 2 | | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | 3 | 0 | | |
STEP 7: SUBTRACT 36 - 30 = 6
|
| | | 0 | 2 | | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | 9 | |
STEP 9: DIVIDE 69 : 15 = 4 with a remainder of 9
|
| | | 0 | 2 | 4 | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | 9 | |
STEP 10: MULTIPLY 4 · 15 = 60
|
| | | 0 | 2 | 4 | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | 9 | |
| | | | 6 | 0 | |
STEP 11: SUBTRACT 69 - 60 = 9
|
| | | 0 | 2 | 4 | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | 9 | |
| | | – | 6 | 0 | |
| | | | | 9 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 4 | |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | 9 | |
| | | – | 6 | 0 | |
| | | | | 9 | 5 |
STEP 13: DIVIDE 95 : 15 = 6 with a remainder of 5
|
| | | 0 | 2 | 4 | 6 |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | 9 | |
| | | – | 6 | 0 | |
| | | | | 9 | 5 |
STEP 14: MULTIPLY 6 · 15 = 90
|
| | | 0 | 2 | 4 | 6 |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | 9 | |
| | | – | 6 | 0 | |
| | | | | 9 | 5 |
| | | | | 9 | 0 |
STEP 15: SUBTRACT 95 - 90 = 5
|
| | | 0 | 2 | 4 | 6 |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | 9 | |
| | | – | 6 | 0 | |
| | | | | 9 | 5 |
| | | | – | 9 | 0 |
| | | | | | 5 |
STEP 15: SUBTRACT 95 - 90 = 5
|
| | | 0 | 2 | 4 | 6 |
| 1 | 5 | 3 | 6 | 9 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | – | 3 | 0 | | |
| | | | 6 | 9 | |
| | | – | 6 | 0 | |
| | | | | 9 | 5 |
| | | | – | 9 | 0 |
| | | | | | 5 |
This page was created using
Long division calculator