111991 divided by 35 
Our goal is to divide 111991 by 35.

Moving on to step 1:
35 goes into 1 0 times 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.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 35

Let's proceed to step 2:
The number 35 fits into 11 0 times, leaving a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 35

Let's proceed to step 3:
If we divide 111 by 35, we get 3 and a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 105 from 111, we get 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 35

Moving on to step 4:
69 divided by 35 is 1 with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 31.0
Subtract 35 from 69 to get 34.
Bring next digit (9) of the dividend behind the 34 and repeat the process: 349 / 35

Advancing to step 5:
The number 35 fits into 349 9 times, leaving a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 319.0
Subtracting 315 from 349 leaves us with 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 35

Moving on to step 6:
If we divide 341 by 35, we get 9 and a remainder of 26.
The next digit of our result is 9. 
Result so far: 3199.0
Subtracting 315 from 341 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
When dividing 260 by 35, we get 7 with a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 3199.7
Subtract 245 from 260 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
35 goes into 150 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 3199.74
Subtracting 140 from 150 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.

Moving on to step 9:
35 goes into 100 2 times with a remainder of 30.
The next digit of our result is 2. 
Result so far: 3199.742
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
When dividing 300 by 35, we get 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 3199.7428
If we take 280 away from 300, we end up 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 11:
200 divided by 35 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 3199.74285
If we take 175 away from 200, we end up 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.

Advancing to step 12:
35 goes into 250 7 times with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 3199.742857
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 13:
50 divided by 35 is 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 3199.7428571
The remainder is 15 after subtracting 35 from 50.
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 14:
The number 35 fits into 150 4 times, leaving a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 3199.74285714
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.

In conclusion, the division gives 3199.74285714 with a balance of 1e-08.