Let's divide 905742 by 60
We're looking to find how many times 60 goes into 905742.

Step 1:
60 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 60

Moving on to step 2:
60 goes into 90 1 times with a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 60 away from 90, we end up with 30.
Append the next digit (5) from the dividend to 30 and continue with: 305 / 60

On to step 3:
If we divide 305 by 60, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 300 from 305 leaves us with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 60

On to step 4:
60 goes into 57 0 times with a remainder of 57.
Put 0 as the next digit of the answer. 
Result so far: 150.0
Deduct 0 from 57 and we're left with 57.
Grab the next digit (4) from the dividend, add it to 57, then carry on: 574 / 60

Going ahead to step 5:
60 goes into 574 9 times with a remainder of 34.
The number 9 becomes the next digit in our result. 
Result so far: 1509.0
Subtracting 540 from 574 leaves us with 34.
Bring next digit (2) of the dividend behind the 34 and repeat the process: 342 / 60

Step 6:
60 goes into 342 5 times with a remainder of 42.
Record the quotient 5 as the next digit in the result. 
Result so far: 15095.0
Deduct 300 from 342 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 7:
The number 60 fits into 420 7 times, leaving a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 15095.7
Deduct 420 from 420 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
The number 60 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 15095.7
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
If we divide 0 by 60, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 15095.7
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 15095.7, and the remainder is 0.0.