◀ back to index
Question
What is the quotient and remainder when $ 587 $ is divided by $ 5 $ ?
Answer
The quotient is 117 and the remainder is 2.
Explanation
|
Division Table
|
| | 1 | 1 | 7 |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 8 | | |
| – | 5 | | |
| | 3 | 7 | |
| – | 3 | 5 | |
| | | 2 | |
STEP 0: set up a division table
|
| | | | |
| 5 | 5 | 8 | 7 |
STEP 1: DIVIDE 5 : 5 = 1 with a remainder of 0
|
| | 1 | | |
| 5 | 5 | 8 | 7 |
STEP 2: MULTIPLY 1 · 5 = 5
|
| | 1 | | |
| 5 | 5 | 8 | 7 |
| | 5 | | |
STEP 3: SUBTRACT 5 - 5 = 0
|
| | 1 | | |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 0 | | |
|
STEP 4: BRING DOWN
|
| | 1 | | |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 8 | | |
STEP 5: DIVIDE 8 : 5 = 1 with a remainder of 3
|
| | 1 | 1 | |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 8 | | |
STEP 6: MULTIPLY 1 · 5 = 5
|
| | 1 | 1 | |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 8 | | |
| | 5 | | |
STEP 7: SUBTRACT 8 - 5 = 3
|
| | 1 | 1 | |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 8 | | |
| – | 5 | | |
| | 3 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 1 | |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 8 | | |
| – | 5 | | |
| | 3 | 7 | |
STEP 9: DIVIDE 37 : 5 = 7 with a remainder of 2
|
| | 1 | 1 | 7 |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 8 | | |
| – | 5 | | |
| | 3 | 7 | |
STEP 10: MULTIPLY 7 · 5 = 35
|
| | 1 | 1 | 7 |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 8 | | |
| – | 5 | | |
| | 3 | 7 | |
| | 3 | 5 | |
STEP 11: SUBTRACT 37 - 35 = 2
|
| | 1 | 1 | 7 |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 8 | | |
| – | 5 | | |
| | 3 | 7 | |
| – | 3 | 5 | |
| | | 2 | |
STEP 11: SUBTRACT 37 - 35 = 2
|
| | 1 | 1 | 7 |
| 5 | 5 | 8 | 7 |
| – | 5 | | |
| | 8 | | |
| – | 5 | | |
| | 3 | 7 | |
| – | 3 | 5 | |
| | | 2 | |
This page was created using
Long division calculator