Let's divide 421028 by 60
Our goal is to divide 421028 by 60.

Step 1:
60 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 60

On to step 2:
When dividing 42 by 60, we get 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 60

Step 3:
The number 60 fits into 421 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 420 away from 421, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 60

Advancing to step 4:
60 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 70.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 60

Step 5:
When dividing 102 by 60, we get 1 with a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 701.0
If we subtract 60 from 102, we get 42.
Bring next digit (8) of the dividend behind the 42 and repeat the process: 428 / 60

On to step 6:
428 divided by 60 is 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 7017.0
Subtract 420 from 428 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
If we divide 80 by 60, we get 1 and a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 7017.1
Deduct 60 from 80 and we're left 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.

Going ahead to step 8:
When dividing 200 by 60, we get 3 with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 7017.13
Deduct 180 from 200 and we're left 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.

Let's proceed to step 9:
The number 60 fits into 200 3 times, leaving a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 7017.133
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.

The quotient of the division is 7017.133, and the remainder is 0.002.