We look at the division of 105313 by 29 
We want to divide 105313 by 29.

Going ahead to step 1:
29 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 29

Let's proceed to step 2:
29 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 29

Going ahead to step 3:
29 goes into 105 3 times with a remainder of 18.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 18 after subtracting 87 from 105.
Fetch the next digit (3) from the dividend, attach it to 18 and continue: 183 / 29

Step 4:
If we divide 183 by 29, we get 6 and a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Deduct 174 from 183 and we're left with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 29

Going ahead to step 5:
29 can be fit into 91 3 times, resulting in a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 363.0
Deduct 87 from 91 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 29

On to step 6:
29 can be fit into 43 1 times, resulting in a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 3631.0
Subtract 29 from 43 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
The number 29 fits into 140 4 times, leaving a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 3631.4
Subtracting 116 from 140 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 8:
When dividing 240 by 29, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 3631.48
Deduct 232 from 240 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
29 can be fit into 80 2 times, resulting in a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 3631.482
If we take 58 away from 80, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
220 divided by 29 is 7 with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 3631.4827
If we take 203 away from 220, 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.

Moving on to step 11:
29 goes into 170 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 3631.48275
Deduct 145 from 170 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 12:
If we divide 250 by 29, we get 8 and a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 3631.482758
If we subtract 232 from 250, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
The number 29 fits into 180 6 times, leaving a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 3631.4827586
Subtract 174 from 180 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 14:
When dividing 60 by 29, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 3631.48275862
Subtracting 58 from 60 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 3631.48275862 with a remaining 2e-09.