We look at the division of 35966128 by 361 
We want to divide 35966128 by 361.

Step 1:
The number 361 fits into 3 0 times, leaving 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 / 361

On to step 2:
361 can be fit into 35 0 times, resulting in 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 (9) from the dividend, attach it to 35 and continue: 359 / 361

Moving on to step 3:
The number 361 fits into 359 0 times, leaving a remainder of 359.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 359 and we're left with 359.
Include the next digit (6) from the dividend after 359, then repeat: 3596 / 361

Moving on to step 4:
When dividing 3596 by 361, we get 9 with a remainder of 347.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 3249 from 3596 to get 347.
Take the next digit (6) from the dividend and append it to 347, then repeat: 3476 / 361

Let's proceed to step 5:
3476 divided by 361 is 9 with a remainder of 227.
Put 9 as the next digit of the answer. 
Result so far: 99.0
Subtracting 3249 from 3476 leaves us with 227.
Fetch the next digit (1) from the dividend, attach it to 227 and continue: 2271 / 361

Advancing to step 6:
361 can be fit into 2271 6 times, resulting in a remainder of 105.
Put 6 as the next digit of the answer. 
Result so far: 996.0
Subtract 2166 from 2271 to get 105.
Append the next digit (2) from the dividend to 105 and continue with: 1052 / 361

Going ahead to step 7:
If we divide 1052 by 361, we get 2 and a remainder of 330.
The next digit of our result is 2. 
Result so far: 9962.0
If we take 722 away from 1052, we end up with 330.
Include the next digit (8) from the dividend after 330, then repeat: 3308 / 361

Moving on to step 8:
3308 divided by 361 is 9 with a remainder of 59.
Write down 9 as next digit of the result. 
Result so far: 99629.0
If we subtract 3249 from 3308, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 9:
When dividing 590 by 361, we get 1 with a remainder of 229.
The next digit of our result is 1. 
Result so far: 99629.1
Subtract 361 from 590 to get 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Let's proceed to step 10:
The number 361 fits into 2290 6 times, leaving a remainder of 124.
The next digit of our result is 6. 
Result so far: 99629.16
Subtract 2166 from 2290 to get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Step 11:
If we divide 1240 by 361, we get 3 and a remainder of 157.
Record the quotient 3 as the next digit in the result. 
Result so far: 99629.163
Subtracting 1083 from 1240 leaves us with 157.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1570, and continue the process.

On to step 12:
1570 divided by 361 is 4 with a remainder of 126.
Write down 4 as next digit of the result. 
Result so far: 99629.1634
If we subtract 1444 from 1570, we get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Let's proceed to step 13:
1260 divided by 361 is 3 with a remainder of 177.
Write down 3 as next digit of the result. 
Result so far: 99629.16343
The remainder is 177 after subtracting 1083 from 1260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1770, and continue the process.

Let's proceed to step 14:
If we divide 1770 by 361, we get 4 and a remainder of 326.
The next digit of our result is 4. 
Result so far: 99629.163434
Subtract 1444 from 1770 to get 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

On to step 15:
361 goes into 3260 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 99629.1634349
If we subtract 3249 from 3260, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 16:
110 divided by 361 is 0 with a remainder of 110.
Write down 0 as next digit of the result. 
Result so far: 99629.1634349
Deduct 0 from 110 and we're left with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

After the division, we end up with 99629.1634349 and a remainder of 1.1e-07.