We're dividing 61597 by 4 
We're looking to find how many times 4 goes into 61597.

Going ahead to step 1:
4 can be fit into 6 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 4 away from 6, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 4

Let's proceed to step 2:
The number 4 fits into 21 5 times, leaving a remainder of 1.
The next digit of our result is 5. 
Result so far: 15.0
Subtracting 20 from 21 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 4

Going ahead to step 3:
The number 4 fits into 15 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 153.0
If we subtract 12 from 15, we get 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 4

Advancing to step 4:
39 divided by 4 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 1539.0
The remainder is 3 after subtracting 36 from 39.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 4

Let's proceed to step 5:
If we divide 37 by 4, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 15399.0
If we take 36 away from 37, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 6:
When dividing 10 by 4, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 15399.2
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.

Let's proceed to step 7:
When dividing 20 by 4, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 15399.25
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.

Step 8:
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: 15399.25
Subtract 0 from 0 to 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.

Going ahead to step 9:
The number 4 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 15399.25
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.

After the division, we end up with 15399.25 and a remainder of 0.0.