75803 ÷ 12 
Our goal is to divide 75803 by 12.

On to step 1:
The number 12 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 12

On to step 2:
75 divided by 12 is 6 with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 72 away from 75, we end up with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 12

On to step 3:
12 goes into 38 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 63.0
The remainder is 2 after subtracting 36 from 38.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 12

Moving on to step 4:
When dividing 20 by 12, we get 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 631.0
If we take 12 away from 20, we end up with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 12

Advancing to step 5:
12 can be fit into 83 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 6316.0
Subtracting 72 from 83 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 6:
If we divide 110 by 12, we get 9 and a remainder of 2.
The next digit of our result is 9. 
Result so far: 6316.9
Deduct 108 from 110 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.

Step 7:
The number 12 fits into 20 1 times, leaving a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 6316.91
Subtract 12 from 20 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
80 divided by 12 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 6316.916
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
The number 12 fits into 80 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6316.9166
If we take 72 away from 80, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 6316.9166 with a remaining 8e-05.