We're dividing 35797526 by 506 
We're looking to find how many times 506 goes into 35797526.

Step 1:
506 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 506

Step 2:
35 divided by 506 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Append the next digit (7) from the dividend to 35 and continue with: 357 / 506

Going ahead to step 3:
When dividing 357 by 506, we get 0 with a remainder of 357.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 357 to get 357.
Append the next digit (9) from the dividend to 357 and continue with: 3579 / 506

Step 4:
506 can be fit into 3579 7 times, resulting in a remainder of 37.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 3542 from 3579 and we're left with 37.
Bring next digit (7) of the dividend behind the 37 and repeat the process: 377 / 506

Moving on to step 5:
377 divided by 506 is 0 with a remainder of 377.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
If we subtract 0 from 377, we get 377.
Grab the next digit (5) from the dividend, add it to 377, then carry on: 3775 / 506

Let's proceed to step 6:
506 can be fit into 3775 7 times, resulting in a remainder of 233.
Use 7 as the next digit of our solution. 
Result so far: 707.0
Subtracting 3542 from 3775 leaves us with 233.
Append the next digit (2) from the dividend to 233 and continue with: 2332 / 506

Advancing to step 7:
If we divide 2332 by 506, we get 4 and a remainder of 308.
Record the quotient 4 as the next digit in the result. 
Result so far: 7074.0
The remainder is 308 after subtracting 2024 from 2332.
Include the next digit (6) from the dividend after 308, then repeat: 3086 / 506

Advancing to step 8:
506 goes into 3086 6 times with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 70746.0
If we take 3036 away from 3086, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
506 can be fit into 500 0 times, resulting in a remainder of 500.
Record the quotient 0 as the next digit in the result. 
Result so far: 70746.0
Subtracting 0 from 500 leaves us with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Step 10:
The number 506 fits into 5000 9 times, leaving a remainder of 446.
Put 9 as the next digit of the answer. 
Result so far: 70746.09
Subtract 4554 from 5000 to get 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

Advancing to step 11:
When dividing 4460 by 506, we get 8 with a remainder of 412.
Put 8 as the next digit of the answer. 
Result so far: 70746.098
If we subtract 4048 from 4460, we get 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Advancing to step 12:
When dividing 4120 by 506, we get 8 with a remainder of 72.
Put 8 as the next digit of the answer. 
Result so far: 70746.0988
Subtracting 4048 from 4120 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final result is 70746.0988 with a remainder of 0.00072.