Let's divide 105558 by 60
Our goal is to divide 105558 by 60.

On to step 1:
When dividing 1 by 60, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 60

Advancing to step 2:
When dividing 10 by 60, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 60

On to step 3:
60 goes into 105 1 times with a remainder of 45.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 60 from 105 and we're left with 45.
Include the next digit (5) from the dividend after 45, then repeat: 455 / 60

Going ahead to step 4:
If we divide 455 by 60, we get 7 and a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we subtract 420 from 455, we get 35.
Bring next digit (5) of the dividend behind the 35 and repeat the process: 355 / 60

Step 5:
60 can be fit into 355 5 times, resulting in a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 175.0
Deduct 300 from 355 and we're left with 55.
Bring next digit (8) of the dividend behind the 55 and repeat the process: 558 / 60

Let's proceed to step 6:
558 divided by 60 is 9 with a remainder of 18.
The next digit of our result is 9. 
Result so far: 1759.0
Deduct 540 from 558 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
When dividing 180 by 60, we get 3 with a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 1759.3
Deduct 180 from 180 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.

Moving on to step 8:
If we divide 0 by 60, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1759.3
Deduct 0 from 0 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 9:
When dividing 0 by 60, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1759.3
The remainder is 0 after subtracting 0 from 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 1759.3, and the remainder is 0.0.