583643 ÷ 4 
We want to figure out the number of times 583643 can be divided by 4.

Advancing to step 1:
If we divide 5 by 4, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 4 from 5 and we're left with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 4

Moving on to step 2:
The number 4 fits into 18 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we subtract 16 from 18, we get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 4

Moving on to step 3:
4 can be fit into 23 5 times, resulting in a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 145.0
If we take 20 away from 23, we end up with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 4

On to step 4:
The number 4 fits into 36 9 times, leaving a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 1459.0
The remainder is 0 after subtracting 36 from 36.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 4

Advancing to step 5:
When dividing 4 by 4, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 14591.0
Deduct 4 from 4 and we're left with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 4

Advancing to step 6:
When dividing 3 by 4, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 145910.0
If we take 0 away from 3, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
When dividing 30 by 4, we get 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 145910.7
Subtracting 28 from 30 leaves us 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.

Let's proceed to step 8:
If we divide 20 by 4, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 145910.75
Deduct 20 from 20 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 9:
When dividing 0 by 4, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 145910.75
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 10:
0 divided by 4 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 145910.75
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.

In conclusion, the division gives 145910.75 with a balance of 0.0.