We're dividing 422581 by 74 
Our goal is to divide 422581 by 74.

Let's proceed to step 1:
4 divided by 74 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 74

On to step 2:
The number 74 fits into 42 0 times, leaving 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.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 74

Advancing to step 3:
If we divide 422 by 74, we get 5 and a remainder of 52.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 370 from 422 leaves us with 52.
Take the next digit (5) from the dividend and append it to 52, then repeat: 525 / 74

Moving on to step 4:
When dividing 525 by 74, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 57.0
If we subtract 518 from 525, we get 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 74

Let's proceed to step 5:
The number 74 fits into 78 1 times, leaving a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 571.0
Subtract 74 from 78 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 74

Let's proceed to step 6:
74 can be fit into 41 0 times, resulting in a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 5710.0
The remainder is 41 after subtracting 0 from 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
74 goes into 410 5 times with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 5710.5
The remainder is 40 after subtracting 370 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
74 can be fit into 400 5 times, resulting in a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 5710.55
If we subtract 370 from 400, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 5710.55 with a remaining 0.03.