10375283 ÷ 691 
We want to figure out the number of times 10375283 can be divided by 691.

Step 1:
691 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 691

Going ahead to step 2:
691 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 691

Let's proceed to step 3:
If we divide 103 by 691, we get 0 and a remainder of 103.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 103 leaves us with 103.
Bring next digit (7) of the dividend behind the 103 and repeat the process: 1037 / 691

Moving on to step 4:
When dividing 1037 by 691, we get 1 with a remainder of 346.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 691 from 1037 and we're left with 346.
Append the next digit (5) from the dividend to 346 and continue with: 3465 / 691

Moving on to step 5:
When dividing 3465 by 691, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 10 after subtracting 3455 from 3465.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 691

Advancing to step 6:
102 divided by 691 is 0 with a remainder of 102.
Use 0 as the next digit of our solution. 
Result so far: 150.0
If we take 0 away from 102, we end up with 102.
Append the next digit (8) from the dividend to 102 and continue with: 1028 / 691

Let's proceed to step 7:
When dividing 1028 by 691, we get 1 with a remainder of 337.
The next digit of our result is 1. 
Result so far: 1501.0
Subtracting 691 from 1028 leaves us with 337.
Bring next digit (3) of the dividend behind the 337 and repeat the process: 3373 / 691

On to step 8:
691 can be fit into 3373 4 times, resulting in a remainder of 609.
The next digit of our result is 4. 
Result so far: 15014.0
If we take 2764 away from 3373, we end up with 609.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6090, and continue the process.

Moving on to step 9:
If we divide 6090 by 691, we get 8 and a remainder of 562.
Put 8 as the next digit of the answer. 
Result so far: 15014.8
Deduct 5528 from 6090 and we're left with 562.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Moving on to step 10:
The number 691 fits into 5620 8 times, leaving a remainder of 92.
Record the quotient 8 as the next digit in the result. 
Result so far: 15014.88
Subtract 5528 from 5620 to get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

After the division, we end up with 15014.88 and a remainder of 0.092.