101591 divided by 29 
Our goal is to divide 101591 by 29.

Advancing to step 1:
1 divided by 29 is 0 with 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.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 29

Let's proceed to step 2:
10 divided by 29 is 0 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.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 29

Going ahead to step 3:
101 divided by 29 is 3 with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 87 from 101 and we're left with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 29

On to step 4:
29 goes into 145 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtracting 145 from 145 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 29

Going ahead to step 5:
When dividing 9 by 29, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 350.0
Subtract 0 from 9 to get 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 29

On to step 6:
The number 29 fits into 91 3 times, leaving a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 3503.0
Deduct 87 from 91 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
29 goes into 40 1 times with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 3503.1
Deduct 29 from 40 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
If we divide 110 by 29, we get 3 and a remainder of 23.
The number 3 becomes the next digit in our result. 
Result so far: 3503.13
The remainder is 23 after subtracting 87 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 9:
When dividing 230 by 29, we get 7 with a remainder of 27.
Write down 7 as next digit of the result. 
Result so far: 3503.137
If we subtract 203 from 230, we 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.

Advancing to step 10:
270 divided by 29 is 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 3503.1379
If we take 261 away from 270, 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.

Step 11:
29 can be fit into 90 3 times, resulting in a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3503.13793
Subtract 87 from 90 to get 3.
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 12:
29 can be fit into 30 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 3503.137931
Subtracting 29 from 30 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 13:
10 divided by 29 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 3503.137931
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.

Advancing to step 14:
29 can be fit into 100 3 times, resulting in a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 3503.13793103
Subtracting 87 from 100 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 3503.13793103 with a balance of 1.3e-08.