We're dividing 672101 by 88 
Our goal is to divide 672101 by 88.

Step 1:
When dividing 6 by 88, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 88

Let's proceed to step 2:
88 goes into 67 0 times with a remainder of 67.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 67 to get 67.
Bring next digit (2) of the dividend behind the 67 and repeat the process: 672 / 88

Advancing to step 3:
88 goes into 672 7 times with a remainder of 56.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 616 from 672 to get 56.
Append the next digit (1) from the dividend to 56 and continue with: 561 / 88

On to step 4:
88 can be fit into 561 6 times, resulting in a remainder of 33.
Put 6 as the next digit of the answer. 
Result so far: 76.0
The remainder is 33 after subtracting 528 from 561.
Bring next digit (0) of the dividend behind the 33 and repeat the process: 330 / 88

Going ahead to step 5:
If we divide 330 by 88, we get 3 and a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 763.0
The remainder is 66 after subtracting 264 from 330.
Take the next digit (1) from the dividend and append it to 66, then repeat: 661 / 88

Going ahead to step 6:
The number 88 fits into 661 7 times, leaving a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 7637.0
If we take 616 away from 661, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 7:
88 can be fit into 450 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 7637.5
The remainder is 10 after subtracting 440 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
88 can be fit into 100 1 times, resulting in a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 7637.51
If we subtract 88 from 100, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
If we divide 120 by 88, we get 1 and a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 7637.511
Subtract 88 from 120 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 7637.511 with a balance of 0.0032.