461959 ÷ 60 
We're looking to find how many times 60 goes into 461959.

Let's proceed to step 1:
The number 60 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 60

On to step 2:
The number 60 fits into 46 0 times, leaving a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 46 leaves us with 46.
Include the next digit (1) from the dividend after 46, then repeat: 461 / 60

Moving on to step 3:
If we divide 461 by 60, we get 7 and a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 420 away from 461, we end up with 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 60

On to step 4:
The number 60 fits into 419 6 times, leaving a remainder of 59.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Deduct 360 from 419 and we're left with 59.
Fetch the next digit (5) from the dividend, attach it to 59 and continue: 595 / 60

Let's proceed to step 5:
595 divided by 60 is 9 with a remainder of 55.
Put 9 as the next digit of the answer. 
Result so far: 769.0
The remainder is 55 after subtracting 540 from 595.
Bring next digit (9) of the dividend behind the 55 and repeat the process: 559 / 60

Step 6:
60 goes into 559 9 times with a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 7699.0
Subtract 540 from 559 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
When dividing 190 by 60, we get 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 7699.3
Subtracting 180 from 190 leaves us 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.

Step 8:
100 divided by 60 is 1 with a remainder of 40.
The next digit of our result is 1. 
Result so far: 7699.31
The remainder is 40 after subtracting 60 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

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: 7699.316
If we subtract 360 from 400, 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.

Step 10:
When dividing 400 by 60, we get 6 with a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 7699.3166
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 7699.3166 with a balance of 0.0004.