We look at the division of 105541 by 35 
We're looking to find how many times 35 goes into 105541.

Going ahead to step 1:
35 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 35

Let's proceed to step 2:
If we divide 10 by 35, we get 0 and 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.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 35

Let's proceed to step 3:
35 goes into 105 3 times with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 105 from 105 leaves us with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 35

Advancing to step 4:
When dividing 5 by 35, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
If we take 0 away from 5, we end up with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 35

Step 5:
35 goes into 54 1 times with a remainder of 19.
The next digit of our result is 1. 
Result so far: 301.0
The remainder is 19 after subtracting 35 from 54.
Grab the next digit (1) from the dividend, add it to 19, then carry on: 191 / 35

On to step 6:
The number 35 fits into 191 5 times, leaving a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 3015.0
If we subtract 175 from 191, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
160 divided by 35 is 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 3015.4
Subtracting 140 from 160 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
200 divided by 35 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 3015.45
Subtract 175 from 200 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
35 goes into 250 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 3015.457
If we subtract 245 from 250, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 3015.4571
Deduct 35 from 50 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
35 goes into 150 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 3015.45714
Deduct 140 from 150 and we're left 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.

Let's proceed to step 12:
If we divide 100 by 35, we get 2 and a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 3015.457142
Deduct 70 from 100 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
When dividing 300 by 35, we get 8 with a remainder of 20.
The next digit of our result is 8. 
Result so far: 3015.4571428
If we subtract 280 from 300, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 14:
200 divided by 35 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 3015.45714285
Subtract 175 from 200 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 3015.45714285 with a remainder of 2.5e-08.