We look at the division of 177585 by 42 
We want to divide 177585 by 42.

Advancing to step 1:
42 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 42

Step 2:
42 goes into 17 0 times with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Bring next digit (7) of the dividend behind the 17 and repeat the process: 177 / 42

Advancing to step 3:
When dividing 177 by 42, we get 4 with a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 168 from 177 and we're left with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 42

On to step 4:
95 divided by 42 is 2 with a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 42.0
If we subtract 84 from 95, we get 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 42

Going ahead to step 5:
42 can be fit into 118 2 times, resulting in a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 422.0
Subtracting 84 from 118 leaves us with 34.
Append the next digit (5) from the dividend to 34 and continue with: 345 / 42

Moving on to step 6:
345 divided by 42 is 8 with a remainder of 9.
The next digit of our result is 8. 
Result so far: 4228.0
Subtract 336 from 345 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
When dividing 90 by 42, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 4228.2
If we take 84 away from 90, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
42 can be fit into 60 1 times, resulting in a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 4228.21
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
The number 42 fits into 180 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 4228.214
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
The number 42 fits into 120 2 times, leaving a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 4228.2142
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 11:
If we divide 360 by 42, we get 8 and a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 4228.21428
Subtract 336 from 360 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
The number 42 fits into 240 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 4228.214285
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
42 can be fit into 300 7 times, resulting in a remainder of 6.
The next digit of our result is 7. 
Result so far: 4228.2142857
Deduct 294 from 300 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
42 goes into 60 1 times with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 4228.21428571
If we take 42 away from 60, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 4228.21428571, with a leftover of 1.8e-08.