We're dividing 23357191 by 635 
Our goal is to divide 23357191 by 635.

Moving on to step 1:
If we divide 2 by 635, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 635

Moving on to step 2:
The number 635 fits into 23 0 times, leaving a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 23, we end up with 23.
Take the next digit (3) from the dividend and append it to 23, then repeat: 233 / 635

Moving on to step 3:
635 goes into 233 0 times with a remainder of 233.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 233, we end up with 233.
Include the next digit (5) from the dividend after 233, then repeat: 2335 / 635

Let's proceed to step 4:
When dividing 2335 by 635, we get 3 with a remainder of 430.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 1905 from 2335, we get 430.
Include the next digit (7) from the dividend after 430, then repeat: 4307 / 635

Advancing to step 5:
635 goes into 4307 6 times with a remainder of 497.
Use 6 as the next digit of our solution. 
Result so far: 36.0
Deduct 3810 from 4307 and we're left with 497.
Fetch the next digit (1) from the dividend, attach it to 497 and continue: 4971 / 635

Advancing to step 6:
The number 635 fits into 4971 7 times, leaving a remainder of 526.
Use 7 as the next digit of our solution. 
Result so far: 367.0
If we subtract 4445 from 4971, we get 526.
Include the next digit (9) from the dividend after 526, then repeat: 5269 / 635

On to step 7:
635 can be fit into 5269 8 times, resulting in a remainder of 189.
Write down 8 as next digit of the result. 
Result so far: 3678.0
Deduct 5080 from 5269 and we're left with 189.
Take the next digit (1) from the dividend and append it to 189, then repeat: 1891 / 635

Advancing to step 8:
The number 635 fits into 1891 2 times, leaving a remainder of 621.
The next digit of our result is 2. 
Result so far: 36782.0
Subtract 1270 from 1891 to get 621.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6210, and continue the process.

Let's proceed to step 9:
The number 635 fits into 6210 9 times, leaving a remainder of 495.
The number 9 becomes the next digit in our result. 
Result so far: 36782.9
Subtracting 5715 from 6210 leaves us with 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Let's proceed to step 10:
The number 635 fits into 4950 7 times, leaving a remainder of 505.
Use 7 as the next digit of our solution. 
Result so far: 36782.97
If we subtract 4445 from 4950, we get 505.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

On to step 11:
If we divide 5050 by 635, we get 7 and a remainder of 605.
Use 7 as the next digit of our solution. 
Result so far: 36782.977
If we take 4445 away from 5050, we end up with 605.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6050, and continue the process.

Our division results in 36782.977 with a remaining 0.0605.