We look at the division of 175408 by 60 
We want to figure out the number of times 175408 can be divided by 60.

Going ahead to step 1:
60 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 60

Step 2:
17 divided by 60 is 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 60

Advancing to step 3:
If we divide 175 by 60, we get 2 and a remainder of 55.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 120 from 175 leaves us with 55.
Bring next digit (4) of the dividend behind the 55 and repeat the process: 554 / 60

On to step 4:
When dividing 554 by 60, we get 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 29.0
Subtract 540 from 554 to get 14.
Fetch the next digit (0) from the dividend, attach it to 14 and continue: 140 / 60

Moving on to step 5:
If we divide 140 by 60, we get 2 and a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 292.0
If we subtract 120 from 140, we get 20.
Take the next digit (8) from the dividend and append it to 20, then repeat: 208 / 60

On to step 6:
60 can be fit into 208 3 times, resulting in a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 2923.0
If we subtract 180 from 208, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
60 goes into 280 4 times with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 2923.4
The remainder is 40 after subtracting 240 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
When dividing 400 by 60, we get 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 2923.46
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
When dividing 400 by 60, we get 6 with a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 2923.466
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 2923.466 and a remainder of 0.004.