7510943 ÷ 691 
Our goal is to divide 7510943 by 691.

Let's proceed to step 1:
When dividing 7 by 691, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 691

Step 2:
691 goes into 75 0 times with a remainder of 75.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 75 to get 75.
Include the next digit (1) from the dividend after 75, then repeat: 751 / 691

Advancing to step 3:
751 divided by 691 is 1 with a remainder of 60.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 691 from 751 and we're left with 60.
Grab the next digit (0) from the dividend, add it to 60, then carry on: 600 / 691

On to step 4:
The number 691 fits into 600 0 times, leaving a remainder of 600.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 600 to get 600.
Include the next digit (9) from the dividend after 600, then repeat: 6009 / 691

Let's proceed to step 5:
When dividing 6009 by 691, we get 8 with a remainder of 481.
The next digit of our result is 8. 
Result so far: 108.0
Deduct 5528 from 6009 and we're left with 481.
Include the next digit (4) from the dividend after 481, then repeat: 4814 / 691

Going ahead to step 6:
4814 divided by 691 is 6 with a remainder of 668.
The next digit of our result is 6. 
Result so far: 1086.0
Subtracting 4146 from 4814 leaves us with 668.
Bring next digit (3) of the dividend behind the 668 and repeat the process: 6683 / 691

Let's proceed to step 7:
6683 divided by 691 is 9 with a remainder of 464.
The next digit of our result is 9. 
Result so far: 10869.0
Subtract 6219 from 6683 to get 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Let's proceed to step 8:
691 goes into 4640 6 times with a remainder of 494.
The number 6 becomes the next digit in our result. 
Result so far: 10869.6
Deduct 4146 from 4640 and we're left with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

On to step 9:
If we divide 4940 by 691, we get 7 and a remainder of 103.
Write down 7 as next digit of the result. 
Result so far: 10869.67
The remainder is 103 after subtracting 4837 from 4940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Let's proceed to step 10:
The number 691 fits into 1030 1 times, leaving a remainder of 339.
The next digit of our result is 1. 
Result so far: 10869.671
Subtract 691 from 1030 to get 339.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3390, and continue the process.

Let's proceed to step 11:
3390 divided by 691 is 4 with a remainder of 626.
Write down 4 as next digit of the result. 
Result so far: 10869.6714
The remainder is 626 after subtracting 2764 from 3390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6260, and continue the process.

Let's proceed to step 12:
If we divide 6260 by 691, we get 9 and a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 10869.67149
The remainder is 41 after subtracting 6219 from 6260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 13:
691 can be fit into 410 0 times, resulting in a remainder of 410.
The number 0 becomes the next digit in our result. 
Result so far: 10869.67149
Deduct 0 from 410 and we're left with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Advancing to step 14:
The number 691 fits into 4100 5 times, leaving a remainder of 645.
Put 5 as the next digit of the answer. 
Result so far: 10869.6714905
Subtract 3455 from 4100 to get 645.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6450, and continue the process.

Advancing to step 15:
6450 divided by 691 is 9 with a remainder of 231.
The next digit of our result is 9. 
Result so far: 10869.67149059
Subtract 6219 from 6450 to get 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

The final result is 10869.67149059 with a remainder of 2.31e-07.