We're dividing 35195197 by 579 
We want to figure out the number of times 35195197 can be divided by 579.

On to step 1:
3 divided by 579 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 579

Moving on to step 2:
The number 579 fits into 35 0 times, leaving a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Fetch the next digit (1) from the dividend, attach it to 35 and continue: 351 / 579

Let's proceed to step 3:
579 can be fit into 351 0 times, resulting in a remainder of 351.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 351 after subtracting 0 from 351.
Bring next digit (9) of the dividend behind the 351 and repeat the process: 3519 / 579

Going ahead to step 4:
579 can be fit into 3519 6 times, resulting in a remainder of 45.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 3474 away from 3519, we end up with 45.
Fetch the next digit (5) from the dividend, attach it to 45 and continue: 455 / 579

Moving on to step 5:
If we divide 455 by 579, we get 0 and a remainder of 455.
Write down 0 as next digit of the result. 
Result so far: 60.0
If we take 0 away from 455, we end up with 455.
Grab the next digit (1) from the dividend, add it to 455, then carry on: 4551 / 579

On to step 6:
4551 divided by 579 is 7 with a remainder of 498.
Record the quotient 7 as the next digit in the result. 
Result so far: 607.0
Subtracting 4053 from 4551 leaves us with 498.
Take the next digit (9) from the dividend and append it to 498, then repeat: 4989 / 579

Let's proceed to step 7:
If we divide 4989 by 579, we get 8 and a remainder of 357.
Put 8 as the next digit of the answer. 
Result so far: 6078.0
Subtract 4632 from 4989 to get 357.
Include the next digit (7) from the dividend after 357, then repeat: 3577 / 579

On to step 8:
If we divide 3577 by 579, we get 6 and a remainder of 103.
The next digit of our result is 6. 
Result so far: 60786.0
The remainder is 103 after subtracting 3474 from 3577.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Going ahead to step 9:
The number 579 fits into 1030 1 times, leaving a remainder of 451.
Put 1 as the next digit of the answer. 
Result so far: 60786.1
If we subtract 579 from 1030, we get 451.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4510, and continue the process.

Moving on to step 10:
579 can be fit into 4510 7 times, resulting in a remainder of 457.
Put 7 as the next digit of the answer. 
Result so far: 60786.17
Deduct 4053 from 4510 and we're left with 457.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4570, and continue the process.

On to step 11:
579 can be fit into 4570 7 times, resulting in a remainder of 517.
Write down 7 as next digit of the result. 
Result so far: 60786.177
If we take 4053 away from 4570, we end up with 517.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5170, and continue the process.

The final result is 60786.177 with a remainder of 0.0517.