◀ back to index
Question
What is the quotient and remainder when $ 816 $ is divided by $ 28 $ ?
Answer
The quotient is 29 and the remainder is 4.
Explanation
|
Division Table
|
| | | 0 | 2 | 9 |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 5 | 6 | |
| | | 2 | 5 | 6 |
| | – | 2 | 5 | 2 |
| | | | | 4 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 8 | 8 | 1 | 6 |
STEP 1: DIVIDE 8 : 28 = 0 with a remainder of 8
|
| | | 0 | | |
| 2 | 8 | 8 | 1 | 6 |
STEP 2: MULTIPLY 0 · 28 = 0
|
| | | 0 | | |
| 2 | 8 | 8 | 1 | 6 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
STEP 5: DIVIDE 81 : 28 = 2 with a remainder of 25
|
| | | 0 | 2 | |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
STEP 6: MULTIPLY 2 · 28 = 56
|
| | | 0 | 2 | |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | | 5 | 6 | |
STEP 7: SUBTRACT 81 - 56 = 25
|
| | | 0 | 2 | |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 5 | 6 | |
| | | 2 | 5 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 5 | 6 | |
| | | 2 | 5 | 6 |
STEP 9: DIVIDE 256 : 28 = 9 with a remainder of 4
|
| | | 0 | 2 | 9 |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 5 | 6 | |
| | | 2 | 5 | 6 |
STEP 10: MULTIPLY 9 · 28 = 252
|
| | | 0 | 2 | 9 |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 5 | 6 | |
| | | 2 | 5 | 6 |
| | | 2 | 5 | 2 |
STEP 11: SUBTRACT 256 - 252 = 4
|
| | | 0 | 2 | 9 |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 5 | 6 | |
| | | 2 | 5 | 6 |
| | – | 2 | 5 | 2 |
| | | | | 4 |
STEP 11: SUBTRACT 256 - 252 = 4
|
| | | 0 | 2 | 9 |
| 2 | 8 | 8 | 1 | 6 |
| | – | 0 | | |
| | | 8 | 1 | |
| | – | 5 | 6 | |
| | | 2 | 5 | 6 |
| | – | 2 | 5 | 2 |
| | | | | 4 |
This page was created using
Long division calculator