Let's divide 101969 by 89
We're looking to find how many times 89 goes into 101969.

Going ahead to step 1:
The number 89 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 89

Going ahead to step 2:
89 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 89

Advancing to step 3:
If we divide 101 by 89, we get 1 and a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 89 away from 101, we end up with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 89

On to step 4:
When dividing 129 by 89, we get 1 with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 40 after subtracting 89 from 129.
Bring next digit (6) of the dividend behind the 40 and repeat the process: 406 / 89

Going ahead to step 5:
If we divide 406 by 89, we get 4 and a remainder of 50.
Record the quotient 4 as the next digit in the result. 
Result so far: 114.0
If we take 356 away from 406, we end up with 50.
Include the next digit (9) from the dividend after 50, then repeat: 509 / 89

Going ahead to step 6:
509 divided by 89 is 5 with a remainder of 64.
The next digit of our result is 5. 
Result so far: 1145.0
Subtract 445 from 509 to 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.

On to step 7:
640 divided by 89 is 7 with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 1145.7
If we take 623 away from 640, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 8:
89 can be fit into 170 1 times, resulting in a remainder of 81.
The next digit of our result is 1. 
Result so far: 1145.71
Subtract 89 from 170 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Moving on to step 9:
If we divide 810 by 89, we get 9 and a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 1145.719
If we take 801 away from 810, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
When dividing 90 by 89, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1145.7191
If we subtract 89 from 90, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
If we divide 10 by 89, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 1145.7191
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
If we divide 100 by 89, we get 1 and a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1145.719101
The remainder is 11 after subtracting 89 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 13:
When dividing 110 by 89, we get 1 with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 1145.7191011
Deduct 89 from 110 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final outcome is 1145.7191011, with a leftover of 2.1e-07.