We look at the division of 7865390 by 690 
We're looking to find how many times 690 goes into 7865390.

Moving on to step 1:
The number 690 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 690

Let's proceed to step 2:
78 divided by 690 is 0 with a remainder of 78.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 78 and we're left with 78.
Bring next digit (6) of the dividend behind the 78 and repeat the process: 786 / 690

Moving on to step 3:
If we divide 786 by 690, we get 1 and a remainder of 96.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 690 from 786, we get 96.
Bring next digit (5) of the dividend behind the 96 and repeat the process: 965 / 690

Let's proceed to step 4:
The number 690 fits into 965 1 times, leaving a remainder of 275.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we subtract 690 from 965, we get 275.
Bring next digit (3) of the dividend behind the 275 and repeat the process: 2753 / 690

Advancing to step 5:
690 can be fit into 2753 3 times, resulting in a remainder of 683.
Write down 3 as next digit of the result. 
Result so far: 113.0
Subtract 2070 from 2753 to get 683.
Fetch the next digit (9) from the dividend, attach it to 683 and continue: 6839 / 690

Let's proceed to step 6:
The number 690 fits into 6839 9 times, leaving a remainder of 629.
Write down 9 as next digit of the result. 
Result so far: 1139.0
If we subtract 6210 from 6839, we get 629.
Fetch the next digit (0) from the dividend, attach it to 629 and continue: 6290 / 690

Moving on to step 7:
The number 690 fits into 6290 9 times, leaving a remainder of 80.
The number 9 becomes the next digit in our result. 
Result so far: 11399.0
Subtract 6210 from 6290 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 8:
690 can be fit into 800 1 times, resulting in a remainder of 110.
The number 1 becomes the next digit in our result. 
Result so far: 11399.1
If we take 690 away from 800, we end up with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Going ahead to step 9:
When dividing 1100 by 690, we get 1 with a remainder of 410.
The number 1 becomes the next digit in our result. 
Result so far: 11399.11
Subtracting 690 from 1100 leaves us 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.

After the division, we end up with 11399.11 and a remainder of 0.41.