We're dividing 22901 by 35 
We want to figure out the number of times 22901 can be divided by 35.

Advancing to step 1:
2 divided by 35 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 35

Advancing to step 2:
If we divide 22 by 35, we get 0 and a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 22 leaves us with 22.
Fetch the next digit (9) from the dividend, attach it to 22 and continue: 229 / 35

Moving on to step 3:
When dividing 229 by 35, we get 6 with a remainder of 19.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 210 from 229 and we're left with 19.
Grab the next digit (0) from the dividend, add it to 19, then carry on: 190 / 35

Let's proceed to step 4:
When dividing 190 by 35, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 65.0
The remainder is 15 after subtracting 175 from 190.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 35

Let's proceed to step 5:
151 divided by 35 is 4 with a remainder of 11.
The next digit of our result is 4. 
Result so far: 654.0
The remainder is 11 after subtracting 140 from 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 6:
35 goes into 110 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 654.3
The remainder is 5 after subtracting 105 from 110.
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 7:
50 divided by 35 is 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 654.31
Subtract 35 from 50 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.

Step 8:
The number 35 fits into 150 4 times, leaving a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 654.314
If we subtract 140 from 150, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
The number 35 fits into 100 2 times, leaving a remainder of 30.
The next digit of our result is 2. 
Result so far: 654.3142
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 654.31428
Deduct 280 from 300 and we're left 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:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 654.314285
Deduct 175 from 200 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.

Let's proceed to step 12:
If we divide 250 by 35, we get 7 and a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 654.3142857
Deduct 245 from 250 and we're left 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.

Moving on to step 13:
When dividing 50 by 35, we get 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 654.31428571
If we subtract 35 from 50, we 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.

After the division, we end up with 654.31428571 and a remainder of 1.5e-08.