We're dividing 100961 by 29 
We want to figure out the number of times 100961 can be divided by 29.

Let's proceed to step 1:
29 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 29

Advancing to step 2:
29 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 29

Moving on to step 3:
The number 29 fits into 100 3 times, leaving a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 87 away from 100, we end up with 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 29

Step 4:
The number 29 fits into 139 4 times, leaving a remainder of 23.
Use 4 as the next digit of our solution. 
Result so far: 34.0
The remainder is 23 after subtracting 116 from 139.
Grab the next digit (6) from the dividend, add it to 23, then carry on: 236 / 29

Moving on to step 5:
If we divide 236 by 29, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 348.0
Subtract 232 from 236 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 29

Advancing to step 6:
The number 29 fits into 41 1 times, leaving a remainder of 12.
The next digit of our result is 1. 
Result so far: 3481.0
If we subtract 29 from 41, 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.

Let's proceed to step 7:
If we divide 120 by 29, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 3481.4
If we subtract 116 from 120, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
29 can be fit into 40 1 times, resulting in a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 3481.41
If we subtract 29 from 40, we get 11.
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 9:
The number 29 fits into 110 3 times, leaving a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 3481.413
If we subtract 87 from 110, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 10:
The number 29 fits into 230 7 times, leaving a remainder of 27.
Write down 7 as next digit of the result. 
Result so far: 3481.4137
Subtract 203 from 230 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 11:
29 goes into 270 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 3481.41379
Subtracting 261 from 270 leaves us 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.

Going ahead to step 12:
29 goes into 90 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 3481.413793
The remainder is 3 after subtracting 87 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 13:
When dividing 30 by 29, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 3481.4137931
The remainder is 1 after subtracting 29 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
When dividing 10 by 29, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 3481.4137931
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 3481.4137931 with a remainder of 1e-08.