102959 ÷ 60 
We're looking to find how many times 60 goes into 102959.

Step 1:
1 divided by 60 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 60

Going ahead to step 2:
60 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 60

Going ahead to step 3:
60 can be fit into 102 1 times, resulting in a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 60 from 102 to get 42.
Bring next digit (9) of the dividend behind the 42 and repeat the process: 429 / 60

Step 4:
The number 60 fits into 429 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtract 420 from 429 to get 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 60

Going ahead to step 5:
95 divided by 60 is 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 171.0
If we subtract 60 from 95, we get 35.
Bring next digit (9) of the dividend behind the 35 and repeat the process: 359 / 60

Step 6:
359 divided by 60 is 5 with a remainder of 59.
Use 5 as the next digit of our solution. 
Result so far: 1715.0
The remainder is 59 after subtracting 300 from 359.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 7:
60 goes into 590 9 times with a remainder of 50.
Use 9 as the next digit of our solution. 
Result so far: 1715.9
Subtract 540 from 590 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
60 can be fit into 500 8 times, resulting in a remainder of 20.
The next digit of our result is 8. 
Result so far: 1715.98
The remainder is 20 after subtracting 480 from 500.
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:
When dividing 200 by 60, we get 3 with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 1715.983
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.

Step 10:
60 goes into 200 3 times with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 1715.9833
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 1715.9833 with a balance of 0.0002.