We divide 645451 by 87
We want to divide 645451 by 87.

Moving on to step 1:
6 divided by 87 is 0 with 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.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 87

On to step 2:
If we divide 64 by 87, we get 0 and a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Bring next digit (5) of the dividend behind the 64 and repeat the process: 645 / 87

Advancing to step 3:
645 divided by 87 is 7 with a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 609 away from 645, we end up with 36.
Bring next digit (4) of the dividend behind the 36 and repeat the process: 364 / 87

Moving on to step 4:
364 divided by 87 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 74.0
If we subtract 348 from 364, we get 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 87

Advancing to step 5:
If we divide 165 by 87, we get 1 and a remainder of 78.
Put 1 as the next digit of the answer. 
Result so far: 741.0
If we take 87 away from 165, we end up with 78.
Fetch the next digit (1) from the dividend, attach it to 78 and continue: 781 / 87

On to step 6:
87 goes into 781 8 times with a remainder of 85.
The number 8 becomes the next digit in our result. 
Result so far: 7418.0
If we take 696 away from 781, we end up with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Advancing to step 7:
When dividing 850 by 87, we get 9 with a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 7418.9
The remainder is 67 after subtracting 783 from 850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 8:
When dividing 670 by 87, we get 7 with a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 7418.97
Deduct 609 from 670 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 9:
If we divide 610 by 87, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 7418.977
Deduct 609 from 610 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 7418.977, and the remainder is 0.0001.