6931003 ÷ 580 
We want to figure out the number of times 6931003 can be divided by 580.

Let's proceed to step 1:
If we divide 6 by 580, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 580

Let's proceed to step 2:
If we divide 69 by 580, we get 0 and a remainder of 69.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 69 to get 69.
Grab the next digit (3) from the dividend, add it to 69, then carry on: 693 / 580

On to step 3:
The number 580 fits into 693 1 times, leaving a remainder of 113.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 580 away from 693, we end up with 113.
Grab the next digit (1) from the dividend, add it to 113, then carry on: 1131 / 580

Advancing to step 4:
580 goes into 1131 1 times with a remainder of 551.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 551 after subtracting 580 from 1131.
Append the next digit (0) from the dividend to 551 and continue with: 5510 / 580

Let's proceed to step 5:
When dividing 5510 by 580, we get 9 with a remainder of 290.
Use 9 as the next digit of our solution. 
Result so far: 119.0
The remainder is 290 after subtracting 5220 from 5510.
Append the next digit (0) from the dividend to 290 and continue with: 2900 / 580

Let's proceed to step 6:
580 goes into 2900 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 1195.0
The remainder is 0 after subtracting 2900 from 2900.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 580

Advancing to step 7:
580 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 11950.0
Subtracting 0 from 3 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 8:
580 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 11950.0
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
580 goes into 300 0 times with a remainder of 300.
Use 0 as the next digit of our solution. 
Result so far: 11950.0
Subtract 0 from 300 to get 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

After the division, we end up with 11950.0 and a remainder of 0.3.