We're dividing 349958 by 60 
We're looking to find how many times 60 goes into 349958.

On to step 1:
If we divide 3 by 60, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 60

On to step 2:
When dividing 34 by 60, we get 0 with a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 60

Moving on to step 3:
The number 60 fits into 349 5 times, leaving a remainder of 49.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 49 after subtracting 300 from 349.
Fetch the next digit (9) from the dividend, attach it to 49 and continue: 499 / 60

Step 4:
60 can be fit into 499 8 times, resulting in a remainder of 19.
Put 8 as the next digit of the answer. 
Result so far: 58.0
If we subtract 480 from 499, we get 19.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 60

Let's proceed to step 5:
When dividing 195 by 60, we get 3 with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 583.0
If we take 180 away from 195, we end up with 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 60

Advancing to step 6:
158 divided by 60 is 2 with a remainder of 38.
The next digit of our result is 2. 
Result so far: 5832.0
Subtracting 120 from 158 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
380 divided by 60 is 6 with a remainder of 20.
The next digit of our result is 6. 
Result so far: 5832.6
If we subtract 360 from 380, 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 8:
200 divided by 60 is 3 with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 5832.63
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 9:
60 goes into 200 3 times with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 5832.633
If we subtract 180 from 200, 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.

Our division results in 5832.633 with a remaining 0.002.