◀ back to index
Question
What is the quotient and remainder when $ 2400 $ is divided by $ 15 $ ?
Answer
The quotient is 160 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 1 | 6 | 0 |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | 0 | |
| | | – | 9 | 0 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 5 | 2 | 4 | 0 | 0 |
STEP 1: DIVIDE 2 : 15 = 0 with a remainder of 2
|
| | | 0 | | | |
| 1 | 5 | 2 | 4 | 0 | 0 |
STEP 2: MULTIPLY 0 · 15 = 0
|
| | | 0 | | | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
STEP 5: DIVIDE 24 : 15 = 1 with a remainder of 9
|
| | | 0 | 1 | | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
STEP 6: MULTIPLY 1 · 15 = 15
|
| | | 0 | 1 | | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | 1 | 5 | | |
STEP 7: SUBTRACT 24 - 15 = 9
|
| | | 0 | 1 | | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | 0 | |
STEP 9: DIVIDE 90 : 15 = 6 with a remainder of 0
|
| | | 0 | 1 | 6 | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | 0 | |
STEP 10: MULTIPLY 6 · 15 = 90
|
| | | 0 | 1 | 6 | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | 0 | |
| | | | 9 | 0 | |
STEP 11: SUBTRACT 90 - 90 = 0
|
| | | 0 | 1 | 6 | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | 0 | |
| | | – | 9 | 0 | |
| | | | | 0 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 6 | |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | 0 | |
| | | – | 9 | 0 | |
| | | | | 0 | |
STEP 13: DIVIDE 0 : 15 = 0 with a remainder of 0
|
| | | 0 | 1 | 6 | 0 |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | 0 | |
| | | – | 9 | 0 | |
| | | | | 0 | |
STEP 14: MULTIPLY 0 · 15 = 0
|
| | | 0 | 1 | 6 | 0 |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | 0 | |
| | | – | 9 | 0 | |
| | | | | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 1 | 6 | 0 |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | 0 | |
| | | – | 9 | 0 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 1 | 6 | 0 |
| 1 | 5 | 2 | 4 | 0 | 0 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | – | 1 | 5 | | |
| | | | 9 | 0 | |
| | | – | 9 | 0 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
This page was created using
Long division calculator