We look at the division of 74569 by 3 
We want to divide 74569 by 3.

Advancing to step 1:
3 goes into 7 2 times with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 6 from 7 to get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 3

Let's proceed to step 2:
If we divide 14 by 3, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 24.0
Deduct 12 from 14 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Advancing to step 3:
When dividing 25 by 3, we get 8 with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 248.0
Subtracting 24 from 25 leaves us with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 3

On to step 4:
When dividing 16 by 3, we get 5 with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 2485.0
If we take 15 away from 16, we end up with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 3

Moving on to step 5:
The number 3 fits into 19 6 times, leaving a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 24856.0
Subtract 18 from 19 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 6:
3 goes into 10 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 24856.3
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 24856.33
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 24856.33 with a remaining 0.001.