◀ back to index
Question
What is the quotient and remainder when $ 127 $ is divided by $ 2150 $ ?
Answer
The quotient is 0 and the remainder is 127.
Explanation
|
Division Table
|
| | | | | 0 | 0 | 0 |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | 2 | |
| | | | | – | 0 | |
| | | | | 1 | 2 | 7 |
| | | | | | – | 0 |
| | | | | 1 | 2 | 7 |
STEP 0: set up a division table
|
| | | | | | | |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
STEP 1: DIVIDE 1 : 2150 = 0 with a remainder of 1
|
| | | | | 0 | | |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
STEP 2: MULTIPLY 0 · 2150 = 0
|
| | | | | 0 | | |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | | 0 | | |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | | |
|
STEP 4: BRING DOWN
|
| | | | | 0 | | |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | 2 | |
STEP 5: DIVIDE 12 : 2150 = 0 with a remainder of 12
|
| | | | | 0 | 0 | |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | 2 | |
STEP 6: MULTIPLY 0 · 2150 = 0
|
| | | | | 0 | 0 | |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | 2 | |
| | | | | | 0 | |
STEP 7: SUBTRACT 12 - 0 = 12
|
| | | | | 0 | 0 | |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | 2 | |
| | | | | – | 0 | |
| | | | | 1 | 2 | |
|
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | 2 | |
| | | | | – | 0 | |
| | | | | 1 | 2 | 7 |
STEP 9: DIVIDE 127 : 2150 = 0 with a remainder of 127
|
| | | | | 0 | 0 | 0 |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | 2 | |
| | | | | – | 0 | |
| | | | | 1 | 2 | 7 |
STEP 10: MULTIPLY 0 · 2150 = 0
|
| | | | | 0 | 0 | 0 |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | 2 | |
| | | | | – | 0 | |
| | | | | 1 | 2 | 7 |
| | | | | | | 0 |
STEP 11: SUBTRACT 127 - 0 = 127
|
| | | | | 0 | 0 | 0 |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | 2 | |
| | | | | – | 0 | |
| | | | | 1 | 2 | 7 |
| | | | | | – | 0 |
| | | | | 1 | 2 | 7 |
STEP 11: SUBTRACT 127 - 0 = 127
|
| | | | | 0 | 0 | 0 |
| 2 | 1 | 5 | 0 | 1 | 2 | 7 |
| | | | – | 0 | | |
| | | | | 1 | 2 | |
| | | | | – | 0 | |
| | | | | 1 | 2 | 7 |
| | | | | | – | 0 |
| | | | | 1 | 2 | 7 |
This page was created using
Long division calculator