back to index
What is the quotient and remainder when $ 4587 $ is divided by $ 11 $ ?
Answer
The quotient is 417 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 4 | 1 | 7 |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | 8 | |
| | – | 1 | 1 | |
| | | | 7 | 7 |
| | | – | 7 | 7 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
1 | 1 | 4 | 5 | 8 | 7 |
STEP 1: DIVIDE 4 : 11 = 0 with a remainder of 4
|
| | 0 | | | |
1 | 1 | 4 | 5 | 8 | 7 |
STEP 2: MULTIPLY 0 · 11 = 0
|
| | 0 | | | |
1 | 1 | 4 | 5 | 8 | 7 |
| | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
STEP 5: DIVIDE 45 : 11 = 4 with a remainder of 1
|
| | 0 | 4 | | |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
STEP 6: MULTIPLY 4 · 11 = 44
|
| | 0 | 4 | | |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| | 4 | 4 | | |
STEP 7: SUBTRACT 45 - 44 = 1
|
| | 0 | 4 | | |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | | |
STEP 8: BRING DOWN
|
| | 0 | 4 | | |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | 8 | |
STEP 9: DIVIDE 18 : 11 = 1 with a remainder of 7
|
| | 0 | 4 | 1 | |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | 8 | |
STEP 10: MULTIPLY 1 · 11 = 11
|
| | 0 | 4 | 1 | |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | 8 | |
| | | 1 | 1 | |
STEP 11: SUBTRACT 18 - 11 = 7
|
| | 0 | 4 | 1 | |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | 8 | |
| | – | 1 | 1 | |
| | | | 7 | |
STEP 12: BRING DOWN
|
| | 0 | 4 | 1 | |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | 8 | |
| | – | 1 | 1 | |
| | | | 7 | 7 |
STEP 13: DIVIDE 77 : 11 = 7 with a remainder of 0
|
| | 0 | 4 | 1 | 7 |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | 8 | |
| | – | 1 | 1 | |
| | | | 7 | 7 |
STEP 14: MULTIPLY 7 · 11 = 77
|
| | 0 | 4 | 1 | 7 |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | 8 | |
| | – | 1 | 1 | |
| | | | 7 | 7 |
| | | | 7 | 7 |
STEP 15: SUBTRACT 77 - 77 = 0
|
| | 0 | 4 | 1 | 7 |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | 8 | |
| | – | 1 | 1 | |
| | | | 7 | 7 |
| | | – | 7 | 7 |
| | | | | 0 |
STEP 15: SUBTRACT 77 - 77 = 0
|
| | 0 | 4 | 1 | 7 |
1 | 1 | 4 | 5 | 8 | 7 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 4 | | |
| | | 1 | 8 | |
| | – | 1 | 1 | |
| | | | 7 | 7 |
| | | – | 7 | 7 |
| | | | | 0 |
This page was created using
Long division calculator