back to index
What is the quotient and remainder when $ 345 $ is divided by $ 75 $ ?
Answer
The quotient is 4 and the remainder is 45.
Explanation
Division Table
|
| | 0 | 0 | 4 |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | 4 | |
| | – | 0 | |
| | 3 | 4 | 5 |
| – | 3 | 0 | 0 |
| | | 4 | 5 |
STEP 0: set up a division table
|
| | | | |
7 | 5 | 3 | 4 | 5 |
STEP 1: DIVIDE 3 : 75 = 0 with a remainder of 3
|
| | 0 | | |
7 | 5 | 3 | 4 | 5 |
STEP 2: MULTIPLY 0 · 75 = 0
|
| | 0 | | |
7 | 5 | 3 | 4 | 5 |
| | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | 4 | |
STEP 5: DIVIDE 34 : 75 = 0 with a remainder of 34
|
| | 0 | 0 | |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | 4 | |
STEP 6: MULTIPLY 0 · 75 = 0
|
| | 0 | 0 | |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | 4 | |
| | | 0 | |
STEP 7: SUBTRACT 34 - 0 = 34
|
| | 0 | 0 | |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | 4 | |
| | – | 0 | |
| | 3 | 4 | |
STEP 8: BRING DOWN
|
| | 0 | 0 | |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | 4 | |
| | – | 0 | |
| | 3 | 4 | 5 |
STEP 9: DIVIDE 345 : 75 = 4 with a remainder of 45
|
| | 0 | 0 | 4 |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | 4 | |
| | – | 0 | |
| | 3 | 4 | 5 |
STEP 10: MULTIPLY 4 · 75 = 300
|
| | 0 | 0 | 4 |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | 4 | |
| | – | 0 | |
| | 3 | 4 | 5 |
| | 3 | 0 | 0 |
STEP 11: SUBTRACT 345 - 300 = 45
|
| | 0 | 0 | 4 |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | 4 | |
| | – | 0 | |
| | 3 | 4 | 5 |
| – | 3 | 0 | 0 |
| | | 4 | 5 |
STEP 11: SUBTRACT 345 - 300 = 45
|
| | 0 | 0 | 4 |
7 | 5 | 3 | 4 | 5 |
| – | 0 | | |
| | 3 | 4 | |
| | – | 0 | |
| | 3 | 4 | 5 |
| – | 3 | 0 | 0 |
| | | 4 | 5 |
This page was created using
Long division calculator