672175 ÷ 87 
Our goal is to divide 672175 by 87.

Let's proceed to step 1:
If we divide 6 by 87, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 87

On to step 2:
If we divide 67 by 87, we get 0 and a remainder of 67.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 67 and we're left with 67.
Fetch the next digit (2) from the dividend, attach it to 67 and continue: 672 / 87

On to step 3:
87 can be fit into 672 7 times, resulting in a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 609 from 672 leaves us with 63.
Append the next digit (1) from the dividend to 63 and continue with: 631 / 87

Going ahead to step 4:
If we divide 631 by 87, we get 7 and a remainder of 22.
Write down 7 as next digit of the result. 
Result so far: 77.0
Deduct 609 from 631 and we're left with 22.
Include the next digit (7) from the dividend after 22, then repeat: 227 / 87

Step 5:
If we divide 227 by 87, we get 2 and a remainder of 53.
The next digit of our result is 2. 
Result so far: 772.0
The remainder is 53 after subtracting 174 from 227.
Grab the next digit (5) from the dividend, add it to 53, then carry on: 535 / 87

Step 6:
535 divided by 87 is 6 with a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 7726.0
If we take 522 away from 535, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
87 can be fit into 130 1 times, resulting in a remainder of 43.
The next digit of our result is 1. 
Result so far: 7726.1
If we take 87 away from 130, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 8:
430 divided by 87 is 4 with a remainder of 82.
The number 4 becomes the next digit in our result. 
Result so far: 7726.14
The remainder is 82 after subtracting 348 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 9:
When dividing 820 by 87, we get 9 with a remainder of 37.
The next digit of our result is 9. 
Result so far: 7726.149
Subtract 783 from 820 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 10:
The number 87 fits into 370 4 times, leaving a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 7726.1494
Subtracting 348 from 370 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
87 can be fit into 220 2 times, resulting in a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 7726.14942
Subtract 174 from 220 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 12:
460 divided by 87 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7726.149425
The remainder is 25 after subtracting 435 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 13:
87 goes into 250 2 times with a remainder of 76.
Write down 2 as next digit of the result. 
Result so far: 7726.1494252
The remainder is 76 after subtracting 174 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 14:
87 can be fit into 760 8 times, resulting in a remainder of 64.
Record the quotient 8 as the next digit in the result. 
Result so far: 7726.14942528
If we subtract 696 from 760, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 7726.14942528 with a balance of 6.4e-08.