◀ back to index
Question
What is the quotient and remainder when $ 7242 $ is divided by $ 34 $ ?
Answer
The quotient is 213 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 1 | 3 |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | 4 | |
| | | – | 3 | 4 | |
| | | | 1 | 0 | 2 |
| | | – | 1 | 0 | 2 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 4 | 7 | 2 | 4 | 2 |
STEP 1: DIVIDE 7 : 34 = 0 with a remainder of 7
|
| | | 0 | | | |
| 3 | 4 | 7 | 2 | 4 | 2 |
STEP 2: MULTIPLY 0 · 34 = 0
|
| | | 0 | | | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
STEP 5: DIVIDE 72 : 34 = 2 with a remainder of 4
|
| | | 0 | 2 | | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
STEP 6: MULTIPLY 2 · 34 = 68
|
| | | 0 | 2 | | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | | 6 | 8 | | |
STEP 7: SUBTRACT 72 - 68 = 4
|
| | | 0 | 2 | | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | 4 | |
STEP 9: DIVIDE 44 : 34 = 1 with a remainder of 10
|
| | | 0 | 2 | 1 | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | 4 | |
STEP 10: MULTIPLY 1 · 34 = 34
|
| | | 0 | 2 | 1 | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | 4 | |
| | | | 3 | 4 | |
STEP 11: SUBTRACT 44 - 34 = 10
|
| | | 0 | 2 | 1 | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | 4 | |
| | | – | 3 | 4 | |
| | | | 1 | 0 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 1 | |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | 4 | |
| | | – | 3 | 4 | |
| | | | 1 | 0 | 2 |
STEP 13: DIVIDE 102 : 34 = 3 with a remainder of 0
|
| | | 0 | 2 | 1 | 3 |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | 4 | |
| | | – | 3 | 4 | |
| | | | 1 | 0 | 2 |
STEP 14: MULTIPLY 3 · 34 = 102
|
| | | 0 | 2 | 1 | 3 |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | 4 | |
| | | – | 3 | 4 | |
| | | | 1 | 0 | 2 |
| | | | 1 | 0 | 2 |
STEP 15: SUBTRACT 102 - 102 = 0
|
| | | 0 | 2 | 1 | 3 |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | 4 | |
| | | – | 3 | 4 | |
| | | | 1 | 0 | 2 |
| | | – | 1 | 0 | 2 |
| | | | | | 0 |
STEP 15: SUBTRACT 102 - 102 = 0
|
| | | 0 | 2 | 1 | 3 |
| 3 | 4 | 7 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 7 | 2 | | |
| | – | 6 | 8 | | |
| | | | 4 | 4 | |
| | | – | 3 | 4 | |
| | | | 1 | 0 | 2 |
| | | – | 1 | 0 | 2 |
| | | | | | 0 |
This page was created using
Long division calculator