◀ back to index
Question
What is the quotient and remainder when $ 7006 $ is divided by $ 34 $ ?
Answer
The quotient is 206 and the remainder is 2.
Explanation
Division Table
|
| | 0 | 2 | 0 | 6 |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | 0 | |
| | | – | 0 | |
| | | 2 | 0 | 6 |
| | – | 2 | 0 | 4 |
| | | | | 2 |
STEP 0: set up a division table
|
| | | | | |
3 | 4 | 7 | 0 | 0 | 6 |
STEP 1: DIVIDE 7 : 34 = 0 with a remainder of 7
|
| | 0 | | | |
3 | 4 | 7 | 0 | 0 | 6 |
STEP 2: MULTIPLY 0 · 34 = 0
|
| | 0 | | | |
3 | 4 | 7 | 0 | 0 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | 0 | | | |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
STEP 5: DIVIDE 70 : 34 = 2 with a remainder of 2
|
| | 0 | 2 | | |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
STEP 6: MULTIPLY 2 · 34 = 68
|
| | 0 | 2 | | |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| | 6 | 8 | | |
STEP 7: SUBTRACT 70 - 68 = 2
|
| | 0 | 2 | | |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | 0 | |
STEP 9: DIVIDE 20 : 34 = 0 with a remainder of 20
|
| | 0 | 2 | 0 | |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | 0 | |
STEP 10: MULTIPLY 0 · 34 = 0
|
| | 0 | 2 | 0 | |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | 0 | |
| | | | 0 | |
STEP 11: SUBTRACT 20 - 0 = 20
|
| | 0 | 2 | 0 | |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | 0 | |
| | | – | 0 | |
| | | 2 | 0 | |
STEP 12: BRING DOWN
|
| | 0 | 2 | 0 | |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | 0 | |
| | | – | 0 | |
| | | 2 | 0 | 6 |
STEP 13: DIVIDE 206 : 34 = 6 with a remainder of 2
|
| | 0 | 2 | 0 | 6 |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | 0 | |
| | | – | 0 | |
| | | 2 | 0 | 6 |
STEP 14: MULTIPLY 6 · 34 = 204
|
| | 0 | 2 | 0 | 6 |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | 0 | |
| | | – | 0 | |
| | | 2 | 0 | 6 |
| | | 2 | 0 | 4 |
STEP 15: SUBTRACT 206 - 204 = 2
|
| | 0 | 2 | 0 | 6 |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | 0 | |
| | | – | 0 | |
| | | 2 | 0 | 6 |
| | – | 2 | 0 | 4 |
| | | | | 2 |
STEP 15: SUBTRACT 206 - 204 = 2
|
| | 0 | 2 | 0 | 6 |
3 | 4 | 7 | 0 | 0 | 6 |
| – | 0 | | | |
| | 7 | 0 | | |
| – | 6 | 8 | | |
| | | 2 | 0 | |
| | | – | 0 | |
| | | 2 | 0 | 6 |
| | – | 2 | 0 | 4 |
| | | | | 2 |
This page was created using
Long division calculator