342910 divided by 60 
We want to figure out the number of times 342910 can be divided by 60.

Step 1:
60 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 60

Step 2:
34 divided by 60 is 0 with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Grab the next digit (2) from the dividend, add it to 34, then carry on: 342 / 60

On to step 3:
When dividing 342 by 60, we get 5 with a remainder of 42.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 300 from 342 and we're left with 42.
Grab the next digit (9) from the dividend, add it to 42, then carry on: 429 / 60

Let's proceed to step 4:
60 can be fit into 429 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Deduct 420 from 429 and we're left with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 60

On to step 5:
60 can be fit into 91 1 times, resulting in a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 571.0
Deduct 60 from 91 and we're left with 31.
Bring next digit (0) of the dividend behind the 31 and repeat the process: 310 / 60

Going ahead to step 6:
The number 60 fits into 310 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 5715.0
If we take 300 away from 310, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
When dividing 100 by 60, we get 1 with a remainder of 40.
The next digit of our result is 1. 
Result so far: 5715.1
Deduct 60 from 100 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.

Moving on to step 8:
60 goes into 400 6 times with a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 5715.16
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.

Moving on to step 9:
The number 60 fits into 400 6 times, leaving a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 5715.166
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.

The quotient of the division is 5715.166, and the remainder is 0.004.