back to index
What is the quotient and remainder when $ 7814 $ is divided by $ 34 $ ?
Answer
The quotient is 229 and the remainder is 28.
Explanation
Division Table
|
| | 0 | 2 | 2 | 9 |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | 1 | |
| | – | 6 | 8 | |
| | | 3 | 3 | 4 |
| | – | 3 | 0 | 6 |
| | | | 2 | 8 |
STEP 0: set up a division table
|
| | | | | |
3 | 4 | 7 | 8 | 1 | 4 |
STEP 1: DIVIDE 7 : 34 = 0 with a remainder of 7
|
| | 0 | | | |
3 | 4 | 7 | 8 | 1 | 4 |
STEP 2: MULTIPLY 0 · 34 = 0
|
| | 0 | | | |
3 | 4 | 7 | 8 | 1 | 4 |
| | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | 0 | | | |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
STEP 5: DIVIDE 78 : 34 = 2 with a remainder of 10
|
| | 0 | 2 | | |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
STEP 6: MULTIPLY 2 · 34 = 68
|
| | 0 | 2 | | |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| | 6 | 8 | | |
STEP 7: SUBTRACT 78 - 68 = 10
|
| | 0 | 2 | | |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | | |
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | 1 | |
STEP 9: DIVIDE 101 : 34 = 2 with a remainder of 33
|
| | 0 | 2 | 2 | |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | 1 | |
STEP 10: MULTIPLY 2 · 34 = 68
|
| | 0 | 2 | 2 | |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | 1 | |
| | | 6 | 8 | |
STEP 11: SUBTRACT 101 - 68 = 33
|
| | 0 | 2 | 2 | |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | 1 | |
| | – | 6 | 8 | |
| | | 3 | 3 | |
STEP 12: BRING DOWN
|
| | 0 | 2 | 2 | |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | 1 | |
| | – | 6 | 8 | |
| | | 3 | 3 | 4 |
STEP 13: DIVIDE 334 : 34 = 9 with a remainder of 28
|
| | 0 | 2 | 2 | 9 |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | 1 | |
| | – | 6 | 8 | |
| | | 3 | 3 | 4 |
STEP 14: MULTIPLY 9 · 34 = 306
|
| | 0 | 2 | 2 | 9 |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | 1 | |
| | – | 6 | 8 | |
| | | 3 | 3 | 4 |
| | | 3 | 0 | 6 |
STEP 15: SUBTRACT 334 - 306 = 28
|
| | 0 | 2 | 2 | 9 |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | 1 | |
| | – | 6 | 8 | |
| | | 3 | 3 | 4 |
| | – | 3 | 0 | 6 |
| | | | 2 | 8 |
STEP 15: SUBTRACT 334 - 306 = 28
|
| | 0 | 2 | 2 | 9 |
3 | 4 | 7 | 8 | 1 | 4 |
| – | 0 | | | |
| | 7 | 8 | | |
| – | 6 | 8 | | |
| | 1 | 0 | 1 | |
| | – | 6 | 8 | |
| | | 3 | 3 | 4 |
| | – | 3 | 0 | 6 |
| | | | 2 | 8 |
This page was created using
Long division calculator