We look at the division of 353542 by 60 
We want to figure out the number of times 353542 can be divided by 60.

Advancing to step 1:
If we divide 3 by 60, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 60

Step 2:
When dividing 35 by 60, we get 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Take the next digit (3) from the dividend and append it to 35, then repeat: 353 / 60

Advancing to step 3:
353 divided by 60 is 5 with a remainder of 53.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 300 from 353 to get 53.
Take the next digit (5) from the dividend and append it to 53, then repeat: 535 / 60

On to step 4:
When dividing 535 by 60, we get 8 with a remainder of 55.
Write down 8 as next digit of the result. 
Result so far: 58.0
Subtract 480 from 535 to get 55.
Bring next digit (4) of the dividend behind the 55 and repeat the process: 554 / 60

Going ahead to step 5:
If we divide 554 by 60, we get 9 and a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 589.0
The remainder is 14 after subtracting 540 from 554.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 60

Moving on to step 6:
The number 60 fits into 142 2 times, leaving a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 5892.0
If we take 120 away from 142, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
If we divide 220 by 60, we get 3 and a remainder of 40.
Put 3 as the next digit of the answer. 
Result so far: 5892.3
If we subtract 180 from 220, 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.

Moving on to step 8:
60 can be fit into 400 6 times, resulting in a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 5892.36
Subtract 360 from 400 to 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.

Let's proceed to step 9:
The number 60 fits into 400 6 times, leaving a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 5892.366
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 5892.366 with a remaining 0.004.