We look at the division of 35577807 by 355 
Our goal is to divide 35577807 by 355.

Advancing to step 1:
355 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
The remainder is 3 after subtracting 0 from 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 355

Let's proceed to step 2:
If we divide 35 by 355, we get 0 and a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 355

Going ahead to step 3:
The number 355 fits into 355 1 times, leaving a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 355 from 355, we get 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 355

Moving on to step 4:
If we divide 7 by 355, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 7 to get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 355

Advancing to step 5:
77 divided by 355 is 0 with a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
Deduct 0 from 77 and we're left with 77.
Grab the next digit (8) from the dividend, add it to 77, then carry on: 778 / 355

Going ahead to step 6:
778 divided by 355 is 2 with a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 1002.0
If we take 710 away from 778, we end up with 68.
Bring next digit (0) of the dividend behind the 68 and repeat the process: 680 / 355

Let's proceed to step 7:
680 divided by 355 is 1 with a remainder of 325.
Record the quotient 1 as the next digit in the result. 
Result so far: 10021.0
The remainder is 325 after subtracting 355 from 680.
Grab the next digit (7) from the dividend, add it to 325, then carry on: 3257 / 355

On to step 8:
The number 355 fits into 3257 9 times, leaving a remainder of 62.
Put 9 as the next digit of the answer. 
Result so far: 100219.0
Deduct 3195 from 3257 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 9:
When dividing 620 by 355, we get 1 with a remainder of 265.
The next digit of our result is 1. 
Result so far: 100219.1
Subtracting 355 from 620 leaves us with 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

On to step 10:
355 goes into 2650 7 times with a remainder of 165.
Put 7 as the next digit of the answer. 
Result so far: 100219.17
The remainder is 165 after subtracting 2485 from 2650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

Moving on to step 11:
355 goes into 1650 4 times with a remainder of 230.
The number 4 becomes the next digit in our result. 
Result so far: 100219.174
Subtracting 1420 from 1650 leaves us with 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

On to step 12:
355 goes into 2300 6 times with a remainder of 170.
Use 6 as the next digit of our solution. 
Result so far: 100219.1746
Deduct 2130 from 2300 and we're left with 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

On to step 13:
The number 355 fits into 1700 4 times, leaving a remainder of 280.
Write down 4 as next digit of the result. 
Result so far: 100219.17464
If we take 1420 away from 1700, we end up with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Step 14:
355 goes into 2800 7 times with a remainder of 315.
The next digit of our result is 7. 
Result so far: 100219.174647
If we take 2485 away from 2800, we end up with 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

Going ahead to step 15:
355 can be fit into 3150 8 times, resulting in a remainder of 310.
Put 8 as the next digit of the answer. 
Result so far: 100219.1746478
Deduct 2840 from 3150 and we're left with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Let's proceed to step 16:
If we divide 3100 by 355, we get 8 and a remainder of 260.
The next digit of our result is 8. 
Result so far: 100219.17464788
Deduct 2840 from 3100 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

The final outcome is 100219.17464788, with a leftover of 2.6e-07.