We look at the division of 106541 by 89 
We want to figure out the number of times 106541 can be divided by 89.

Advancing to step 1:
89 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 89

Advancing 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
Deduct 0 from 10 and we're left with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 89

Going ahead to step 3:
If we divide 106 by 89, we get 1 and a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 17 after subtracting 89 from 106.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 89

Let's proceed to step 4:
If we divide 175 by 89, we get 1 and a remainder of 86.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 89 away from 175, we end up with 86.
Grab the next digit (4) from the dividend, add it to 86, then carry on: 864 / 89

Going ahead to step 5:
When dividing 864 by 89, we get 9 with a remainder of 63.
Record the quotient 9 as the next digit in the result. 
Result so far: 119.0
The remainder is 63 after subtracting 801 from 864.
Bring next digit (1) of the dividend behind the 63 and repeat the process: 631 / 89

Advancing to step 6:
If we divide 631 by 89, we get 7 and a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 1197.0
The remainder is 8 after subtracting 623 from 631.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
The number 89 fits into 80 0 times, leaving a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 1197.0
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 8:
The number 89 fits into 800 8 times, leaving a remainder of 88.
Record the quotient 8 as the next digit in the result. 
Result so far: 1197.08
Subtract 712 from 800 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 9:
The number 89 fits into 880 9 times, leaving a remainder of 79.
Record the quotient 9 as the next digit in the result. 
Result so far: 1197.089
If we take 801 away from 880, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 10:
89 goes into 790 8 times with a remainder of 78.
Put 8 as the next digit of the answer. 
Result so far: 1197.0898
Subtract 712 from 790 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 11:
When dividing 780 by 89, we get 8 with a remainder of 68.
Put 8 as the next digit of the answer. 
Result so far: 1197.08988
Subtracting 712 from 780 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Our division results in 1197.08988 with a remaining 6.8e-05.