35945211 ÷ 556 
Let's see how many times 556 fits into 35945211.

Going ahead to step 1:
556 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 556

On to step 2:
When dividing 35 by 556, we get 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (9) from the dividend and append it to 35, then repeat: 359 / 556

Moving on to step 3:
556 goes into 359 0 times with a remainder of 359.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 359 to get 359.
Fetch the next digit (4) from the dividend, attach it to 359 and continue: 3594 / 556

On to step 4:
The number 556 fits into 3594 6 times, leaving a remainder of 258.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 3336 from 3594 and we're left with 258.
Bring next digit (5) of the dividend behind the 258 and repeat the process: 2585 / 556

Step 5:
556 can be fit into 2585 4 times, resulting in a remainder of 361.
The next digit of our result is 4. 
Result so far: 64.0
The remainder is 361 after subtracting 2224 from 2585.
Take the next digit (2) from the dividend and append it to 361, then repeat: 3612 / 556

Let's proceed to step 6:
3612 divided by 556 is 6 with a remainder of 276.
Use 6 as the next digit of our solution. 
Result so far: 646.0
The remainder is 276 after subtracting 3336 from 3612.
Grab the next digit (1) from the dividend, add it to 276, then carry on: 2761 / 556

On to step 7:
2761 divided by 556 is 4 with a remainder of 537.
The number 4 becomes the next digit in our result. 
Result so far: 6464.0
The remainder is 537 after subtracting 2224 from 2761.
Grab the next digit (1) from the dividend, add it to 537, then carry on: 5371 / 556

On to step 8:
If we divide 5371 by 556, we get 9 and a remainder of 367.
The next digit of our result is 9. 
Result so far: 64649.0
If we subtract 5004 from 5371, we get 367.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3670, and continue the process.

Step 9:
When dividing 3670 by 556, we get 6 with a remainder of 334.
The next digit of our result is 6. 
Result so far: 64649.6
If we take 3336 away from 3670, we end up with 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

Advancing to step 10:
The number 556 fits into 3340 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 64649.66
The remainder is 4 after subtracting 3336 from 3340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 64649.66, and the remainder is 0.004.