We divide 645978 by 87
We want to divide 645978 by 87.

On to step 1:
The number 87 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 87

Going ahead to step 2:
The number 87 fits into 64 0 times, leaving a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Append the next digit (5) from the dividend to 64 and continue with: 645 / 87

Advancing to step 3:
87 goes into 645 7 times with a remainder of 36.
The next digit of our result is 7. 
Result so far: 7.0
If we take 609 away from 645, we end up with 36.
Grab the next digit (9) from the dividend, add it to 36, then carry on: 369 / 87

Going ahead to step 4:
When dividing 369 by 87, we get 4 with a remainder of 21.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
Subtracting 348 from 369 leaves us with 21.
Take the next digit (7) from the dividend and append it to 21, then repeat: 217 / 87

Advancing to step 5:
The number 87 fits into 217 2 times, leaving a remainder of 43.
Put 2 as the next digit of the answer. 
Result so far: 742.0
Deduct 174 from 217 and we're left with 43.
Include the next digit (8) from the dividend after 43, then repeat: 438 / 87

Step 6:
438 divided by 87 is 5 with a remainder of 3.
The next digit of our result is 5. 
Result so far: 7425.0
If we take 435 away from 438, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
The number 87 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 7425.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
When dividing 300 by 87, we get 3 with a remainder of 39.
The number 3 becomes the next digit in our result. 
Result so far: 7425.03
Subtract 261 from 300 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 9:
If we divide 390 by 87, we get 4 and a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 7425.034
If we subtract 348 from 390, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 10:
87 goes into 420 4 times with a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 7425.0344
If we subtract 348 from 420, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Our division results in 7425.0344 with a remaining 0.00072.