115601 ÷ 75 
We want to figure out the number of times 115601 can be divided by 75.

On to step 1:
75 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 75

Advancing to step 2:
75 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 75

On to step 3:
If we divide 115 by 75, we get 1 and a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 75 from 115 and we're left with 40.
Fetch the next digit (6) from the dividend, attach it to 40 and continue: 406 / 75

Advancing to step 4:
75 can be fit into 406 5 times, resulting in a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we subtract 375 from 406, we get 31.
Include the next digit (0) from the dividend after 31, then repeat: 310 / 75

Advancing to step 5:
310 divided by 75 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 154.0
Subtract 300 from 310 to get 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 75

Moving on to step 6:
101 divided by 75 is 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 1541.0
Deduct 75 from 101 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
260 divided by 75 is 3 with a remainder of 35.
Put 3 as the next digit of the answer. 
Result so far: 1541.3
If we subtract 225 from 260, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
The number 75 fits into 350 4 times, leaving a remainder of 50.
Write down 4 as next digit of the result. 
Result so far: 1541.34
Subtracting 300 from 350 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
75 goes into 500 6 times with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 1541.346
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 1541.3466
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 1541.3466, with a leftover of 0.0005.