We're dividing 606177 by 81 
We're looking to find how many times 81 goes into 606177.

Moving on to step 1:
81 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 81

Going ahead to step 2:
60 divided by 81 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 60, we get 60.
Include the next digit (6) from the dividend after 60, then repeat: 606 / 81

Going ahead to step 3:
The number 81 fits into 606 7 times, leaving a remainder of 39.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 567 away from 606, we end up with 39.
Bring next digit (1) of the dividend behind the 39 and repeat the process: 391 / 81

Let's proceed to step 4:
81 goes into 391 4 times with a remainder of 67.
Put 4 as the next digit of the answer. 
Result so far: 74.0
Deduct 324 from 391 and we're left with 67.
Include the next digit (7) from the dividend after 67, then repeat: 677 / 81

Advancing to step 5:
The number 81 fits into 677 8 times, leaving a remainder of 29.
Write down 8 as next digit of the result. 
Result so far: 748.0
Subtracting 648 from 677 leaves us with 29.
Take the next digit (7) from the dividend and append it to 29, then repeat: 297 / 81

Advancing to step 6:
297 divided by 81 is 3 with a remainder of 54.
The next digit of our result is 3. 
Result so far: 7483.0
Deduct 243 from 297 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 7:
540 divided by 81 is 6 with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 7483.6
Subtracting 486 from 540 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 8:
The number 81 fits into 540 6 times, leaving a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 7483.66
Subtracting 486 from 540 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

After the division, we end up with 7483.66 and a remainder of 0.054.