We divide 106598 by 25
We're looking to find how many times 25 goes into 106598.

Let's proceed to step 1:
If we divide 1 by 25, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 25

Let's proceed to step 2:
10 divided by 25 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 25

On to step 3:
25 can be fit into 106 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 100 from 106 leaves us with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 25

Step 4:
65 divided by 25 is 2 with a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Subtracting 50 from 65 leaves us with 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 25

Let's proceed to step 5:
The number 25 fits into 159 6 times, leaving a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 426.0
If we take 150 away from 159, we end up with 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 25

On to step 6:
98 divided by 25 is 3 with a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 4263.0
The remainder is 23 after subtracting 75 from 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
25 goes into 230 9 times with a remainder of 5.
The next digit of our result is 9. 
Result so far: 4263.9
If we take 225 away from 230, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
If we divide 50 by 25, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 4263.92
Subtract 50 from 50 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.

On to step 9:
25 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4263.92
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.

Let's proceed to step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4263.92
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.

The final outcome is 4263.92, with a leftover of 0.0.