6136 ÷ 75 
We want to figure out the number of times 6136 can be divided by 75.

On to step 1:
If we divide 6 by 75, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 75

Advancing to step 2:
When dividing 61 by 75, we get 0 with a remainder of 61.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 61 to get 61.
Include the next digit (3) from the dividend after 61, then repeat: 613 / 75

On to step 3:
When dividing 613 by 75, we get 8 with a remainder of 13.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 13 after subtracting 600 from 613.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 75

Step 4:
The number 75 fits into 136 1 times, leaving a remainder of 61.
Write down 1 as next digit of the result. 
Result so far: 81.0
Deduct 75 from 136 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 5:
When dividing 610 by 75, we get 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 81.8
If we take 600 away from 610, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 6:
When dividing 100 by 75, we get 1 with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 81.81
If we take 75 away from 100, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 81.813
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
When dividing 250 by 75, we get 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 81.8133
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 81.8133, and the remainder is 0.00025.