back to index
What is the quotient and remainder when $ 2331 $ is divided by $ 37 $ ?
Answer
The quotient is 63 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 6 | 3 |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 3 | |
| – | 2 | 2 | 2 | |
| | | 1 | 1 | 1 |
| | – | 1 | 1 | 1 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
3 | 7 | 2 | 3 | 3 | 1 |
STEP 1: DIVIDE 2 : 37 = 0 with a remainder of 2
|
| | 0 | | | |
3 | 7 | 2 | 3 | 3 | 1 |
STEP 2: MULTIPLY 0 · 37 = 0
|
| | 0 | | | |
3 | 7 | 2 | 3 | 3 | 1 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
STEP 5: DIVIDE 23 : 37 = 0 with a remainder of 23
|
| | 0 | 0 | | |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
STEP 6: MULTIPLY 0 · 37 = 0
|
| | 0 | 0 | | |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | | 0 | | |
STEP 7: SUBTRACT 23 - 0 = 23
|
| | 0 | 0 | | |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 3 | |
STEP 9: DIVIDE 233 : 37 = 6 with a remainder of 11
|
| | 0 | 0 | 6 | |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 3 | |
STEP 10: MULTIPLY 6 · 37 = 222
|
| | 0 | 0 | 6 | |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 3 | |
| | 2 | 2 | 2 | |
STEP 11: SUBTRACT 233 - 222 = 11
|
| | 0 | 0 | 6 | |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 3 | |
| – | 2 | 2 | 2 | |
| | | 1 | 1 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 6 | |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 3 | |
| – | 2 | 2 | 2 | |
| | | 1 | 1 | 1 |
STEP 13: DIVIDE 111 : 37 = 3 with a remainder of 0
|
| | 0 | 0 | 6 | 3 |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 3 | |
| – | 2 | 2 | 2 | |
| | | 1 | 1 | 1 |
STEP 14: MULTIPLY 3 · 37 = 111
|
| | 0 | 0 | 6 | 3 |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 3 | |
| – | 2 | 2 | 2 | |
| | | 1 | 1 | 1 |
| | | 1 | 1 | 1 |
STEP 15: SUBTRACT 111 - 111 = 0
|
| | 0 | 0 | 6 | 3 |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 3 | |
| – | 2 | 2 | 2 | |
| | | 1 | 1 | 1 |
| | – | 1 | 1 | 1 |
| | | | | 0 |
STEP 15: SUBTRACT 111 - 111 = 0
|
| | 0 | 0 | 6 | 3 |
3 | 7 | 2 | 3 | 3 | 1 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 3 | |
| – | 2 | 2 | 2 | |
| | | 1 | 1 | 1 |
| | – | 1 | 1 | 1 |
| | | | | 0 |
This page was created using
Long division calculator