We look at the division of 107661 by 89 
Our goal is to divide 107661 by 89.

Advancing to step 1:
89 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 89

Going ahead to step 2:
If we divide 10 by 89, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 89

Going ahead to step 3:
The number 89 fits into 107 1 times, leaving a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 89 from 107 to get 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 89

Let's proceed to step 4:
When dividing 186 by 89, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 178 away from 186, we end up with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 89

Going ahead to step 5:
When dividing 86 by 89, we get 0 with a remainder of 86.
Record the quotient 0 as the next digit in the result. 
Result so far: 120.0
Subtract 0 from 86 to get 86.
Bring next digit (1) of the dividend behind the 86 and repeat the process: 861 / 89

Moving on to step 6:
89 goes into 861 9 times with a remainder of 60.
Put 9 as the next digit of the answer. 
Result so far: 1209.0
If we subtract 801 from 861, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 7:
89 can be fit into 600 6 times, resulting in a remainder of 66.
Put 6 as the next digit of the answer. 
Result so far: 1209.6
Subtracting 534 from 600 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 8:
The number 89 fits into 660 7 times, leaving a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 1209.67
The remainder is 37 after subtracting 623 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 9:
89 goes into 370 4 times with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 1209.674
Deduct 356 from 370 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
89 goes into 140 1 times with a remainder of 51.
Record the quotient 1 as the next digit in the result. 
Result so far: 1209.6741
The remainder is 51 after subtracting 89 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 11:
89 goes into 510 5 times with a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 1209.67415
Subtract 445 from 510 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 12:
The number 89 fits into 650 7 times, leaving a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 1209.674157
Deduct 623 from 650 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 13:
89 goes into 270 3 times with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 1209.6741573
Deduct 267 from 270 and we're left 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.

Step 14:
30 divided by 89 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1209.6741573
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 1209.6741573 with a balance of 3e-08.