355541 divided by 60 
We're looking to find how many times 60 goes into 355541.

Going ahead to step 1:
3 divided by 60 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 60

On to step 2:
When dividing 35 by 60, we get 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Include the next digit (5) from the dividend after 35, then repeat: 355 / 60

Moving on to step 3:
355 divided by 60 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 300 from 355 leaves us with 55.
Fetch the next digit (5) from the dividend, attach it to 55 and continue: 555 / 60

Let's proceed to step 4:
When dividing 555 by 60, we get 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 59.0
The remainder is 15 after subtracting 540 from 555.
Grab the next digit (4) from the dividend, add it to 15, then carry on: 154 / 60

Moving on to step 5:
When dividing 154 by 60, we get 2 with a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 592.0
If we subtract 120 from 154, we get 34.
Fetch the next digit (1) from the dividend, attach it to 34 and continue: 341 / 60

Let's proceed to step 6:
The number 60 fits into 341 5 times, leaving a remainder of 41.
Use 5 as the next digit of our solution. 
Result so far: 5925.0
Subtract 300 from 341 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
The number 60 fits into 410 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 5925.6
If we take 360 away from 410, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
60 can be fit into 500 8 times, resulting in a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 5925.68
If we subtract 480 from 500, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
60 can be fit into 200 3 times, resulting in a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 5925.683
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 10:
200 divided by 60 is 3 with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 5925.6833
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 5925.6833, with a leftover of 0.0002.