We look at the division of 581617 by 4 
We want to figure out the number of times 581617 can be divided by 4.

On to step 1:
The number 4 fits into 5 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 1 after subtracting 4 from 5.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 4

Advancing to step 2:
When dividing 18 by 4, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 16 from 18 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 4

Going ahead to step 3:
21 divided by 4 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 145.0
Subtract 20 from 21 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 4

Let's proceed to step 4:
When dividing 16 by 4, we get 4 with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 1454.0
Subtracting 16 from 16 leaves us with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 4

Going ahead to step 5:
4 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 14540.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 4

On to step 6:
The number 4 fits into 17 4 times, leaving a remainder of 1.
The next digit of our result is 4. 
Result so far: 145404.0
The remainder is 1 after subtracting 16 from 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 145404.2
If we take 8 away from 10, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
4 can be fit into 20 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 145404.25
If we subtract 20 from 20, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
4 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 145404.25
If we take 0 away from 0, we end up 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.

Step 10:
If we divide 0 by 4, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 145404.25
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.

After the division, we end up with 145404.25 and a remainder of 0.0.