◀ back to index
Question
What is the quotient and remainder when $ 34823 $ is divided by $ 7 $ ?
Answer
The quotient is 4974 and the remainder is 5.
Explanation
|
Division Table
|
| | 0 | 4 | 9 | 7 | 4 |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | 2 | |
| | | – | 4 | 9 | |
| | | | | 3 | 3 |
| | | | – | 2 | 8 |
| | | | | | 5 |
STEP 0: set up a division table
|
| | | | | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
STEP 1: DIVIDE 3 : 7 = 0 with a remainder of 3
|
| | 0 | | | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| | 0 | | | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| | 0 | | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
STEP 5: DIVIDE 34 : 7 = 4 with a remainder of 6
|
| | 0 | 4 | | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
STEP 6: MULTIPLY 4 · 7 = 28
|
| | 0 | 4 | | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| | 2 | 8 | | | |
STEP 7: SUBTRACT 34 - 28 = 6
|
| | 0 | 4 | | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | | | |
|
STEP 8: BRING DOWN
|
| | 0 | 4 | | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
STEP 9: DIVIDE 68 : 7 = 9 with a remainder of 5
|
| | 0 | 4 | 9 | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
STEP 10: MULTIPLY 9 · 7 = 63
|
| | 0 | 4 | 9 | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | | 6 | 3 | | |
STEP 11: SUBTRACT 68 - 63 = 5
|
| | 0 | 4 | 9 | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 4 | 9 | | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | 2 | |
STEP 13: DIVIDE 52 : 7 = 7 with a remainder of 3
|
| | 0 | 4 | 9 | 7 | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | 2 | |
STEP 14: MULTIPLY 7 · 7 = 49
|
| | 0 | 4 | 9 | 7 | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | 2 | |
| | | | 4 | 9 | |
STEP 15: SUBTRACT 52 - 49 = 3
|
| | 0 | 4 | 9 | 7 | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | 2 | |
| | | – | 4 | 9 | |
| | | | | 3 | |
|
STEP 16: BRING DOWN
|
| | 0 | 4 | 9 | 7 | |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | 2 | |
| | | – | 4 | 9 | |
| | | | | 3 | 3 |
STEP 17: DIVIDE 33 : 7 = 4 with a remainder of 5
|
| | 0 | 4 | 9 | 7 | 4 |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | 2 | |
| | | – | 4 | 9 | |
| | | | | 3 | 3 |
STEP 18: MULTIPLY 4 · 7 = 28
|
| | 0 | 4 | 9 | 7 | 4 |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | 2 | |
| | | – | 4 | 9 | |
| | | | | 3 | 3 |
| | | | | 2 | 8 |
STEP 19: SUBTRACT 33 - 28 = 5
|
| | 0 | 4 | 9 | 7 | 4 |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | 2 | |
| | | – | 4 | 9 | |
| | | | | 3 | 3 |
| | | | – | 2 | 8 |
| | | | | | 5 |
STEP 19: SUBTRACT 33 - 28 = 5
|
| | 0 | 4 | 9 | 7 | 4 |
| 7 | 3 | 4 | 8 | 2 | 3 |
| – | 0 | | | | |
| | 3 | 4 | | | |
| – | 2 | 8 | | | |
| | | 6 | 8 | | |
| | – | 6 | 3 | | |
| | | | 5 | 2 | |
| | | – | 4 | 9 | |
| | | | | 3 | 3 |
| | | | – | 2 | 8 |
| | | | | | 5 |
This page was created using
Long division calculator