6115233 ÷ 753 
Our goal is to divide 6115233 by 753.

Let's proceed to step 1:
When dividing 6 by 753, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 753

Let's proceed to step 2:
When dividing 61 by 753, we get 0 with a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 61 to get 61.
Take the next digit (1) from the dividend and append it to 61, then repeat: 611 / 753

On to step 3:
If we divide 611 by 753, we get 0 and a remainder of 611.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 611 and we're left with 611.
Grab the next digit (5) from the dividend, add it to 611, then carry on: 6115 / 753

Going ahead to step 4:
6115 divided by 753 is 8 with a remainder of 91.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 6024 away from 6115, we end up with 91.
Include the next digit (2) from the dividend after 91, then repeat: 912 / 753

Moving on to step 5:
753 goes into 912 1 times with a remainder of 159.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
Deduct 753 from 912 and we're left with 159.
Take the next digit (3) from the dividend and append it to 159, then repeat: 1593 / 753

Moving on to step 6:
If we divide 1593 by 753, we get 2 and a remainder of 87.
The number 2 becomes the next digit in our result. 
Result so far: 812.0
Deduct 1506 from 1593 and we're left with 87.
Take the next digit (3) from the dividend and append it to 87, then repeat: 873 / 753

On to step 7:
When dividing 873 by 753, we get 1 with a remainder of 120.
The next digit of our result is 1. 
Result so far: 8121.0
Subtracting 753 from 873 leaves us with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Moving on to step 8:
If we divide 1200 by 753, we get 1 and a remainder of 447.
The next digit of our result is 1. 
Result so far: 8121.1
Subtract 753 from 1200 to get 447.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4470, and continue the process.

On to step 9:
753 goes into 4470 5 times with a remainder of 705.
Record the quotient 5 as the next digit in the result. 
Result so far: 8121.15
Subtracting 3765 from 4470 leaves us with 705.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7050, and continue the process.

Advancing to step 10:
753 goes into 7050 9 times with a remainder of 273.
The number 9 becomes the next digit in our result. 
Result so far: 8121.159
If we subtract 6777 from 7050, we get 273.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2730, and continue the process.

Moving on to step 11:
When dividing 2730 by 753, we get 3 with a remainder of 471.
Use 3 as the next digit of our solution. 
Result so far: 8121.1593
The remainder is 471 after subtracting 2259 from 2730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4710, and continue the process.

Step 12:
If we divide 4710 by 753, we get 6 and a remainder of 192.
The number 6 becomes the next digit in our result. 
Result so far: 8121.15936
The remainder is 192 after subtracting 4518 from 4710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Let's proceed to step 13:
753 can be fit into 1920 2 times, resulting in a remainder of 414.
The number 2 becomes the next digit in our result. 
Result so far: 8121.159362
Subtracting 1506 from 1920 leaves us with 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

Step 14:
If we divide 4140 by 753, we get 5 and a remainder of 375.
Write down 5 as next digit of the result. 
Result so far: 8121.1593625
Subtracting 3765 from 4140 leaves us with 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

Going ahead to step 15:
When dividing 3750 by 753, we get 4 with a remainder of 738.
Put 4 as the next digit of the answer. 
Result so far: 8121.15936254
Subtracting 3012 from 3750 leaves us with 738.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7380, and continue the process.

Our division results in 8121.15936254 with a remaining 7.38e-07.