597522 ÷ 4 
We want to figure out the number of times 597522 can be divided by 4.

Going ahead to step 1:
4 can be fit into 5 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 4 from 5 and we're left with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 4

Moving on to step 2:
The number 4 fits into 19 4 times, leaving a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Subtract 16 from 19 to get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 4

Advancing to step 3:
4 can be fit into 37 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 149.0
Subtracting 36 from 37 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 4

Let's proceed to step 4:
15 divided by 4 is 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 1493.0
Deduct 12 from 15 and we're left with 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 4

On to step 5:
4 goes into 32 8 times with a remainder of 0.
The next digit of our result is 8. 
Result so far: 14938.0
If we subtract 32 from 32, we get 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 4

Moving on to step 6:
4 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 149380.0
Deduct 0 from 2 and we're left 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.

On to step 7:
4 goes into 20 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 149380.5
The remainder is 0 after subtracting 20 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
0 divided by 4 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 149380.5
Subtracting 0 from 0 leaves us 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.
Record the quotient 0 as the next digit in the result. 
Result so far: 149380.5
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.

The final result is 149380.5 with a remainder of 0.0.