We look at the division of 355777 by 84 
We want to figure out the number of times 355777 can be divided by 84.

Going ahead to step 1:
3 divided by 84 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 84

On to step 2:
The number 84 fits into 35 0 times, leaving a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 84

On to step 3:
84 can be fit into 355 4 times, resulting in a remainder of 19.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 336 from 355 leaves us with 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 84

Advancing to step 4:
197 divided by 84 is 2 with a remainder of 29.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Deduct 168 from 197 and we're left with 29.
Bring next digit (7) of the dividend behind the 29 and repeat the process: 297 / 84

Moving on to step 5:
When dividing 297 by 84, we get 3 with a remainder of 45.
The number 3 becomes the next digit in our result. 
Result so far: 423.0
Deduct 252 from 297 and we're left with 45.
Append the next digit (7) from the dividend to 45 and continue with: 457 / 84

Let's proceed to step 6:
If we divide 457 by 84, we get 5 and a remainder of 37.
Record the quotient 5 as the next digit in the result. 
Result so far: 4235.0
If we subtract 420 from 457, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 7:
The number 84 fits into 370 4 times, leaving a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 4235.4
Subtract 336 from 370 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
If we divide 340 by 84, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 4235.44
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 4235.44 and a remainder of 0.004.