6690901 divided by 559 
We want to figure out the number of times 6690901 can be divided by 559.

On to step 1:
If we divide 6 by 559, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 559

Step 2:
66 divided by 559 is 0 with a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Include the next digit (9) from the dividend after 66, then repeat: 669 / 559

Step 3:
559 can be fit into 669 1 times, resulting in a remainder of 110.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 559 from 669 leaves us with 110.
Include the next digit (0) from the dividend after 110, then repeat: 1100 / 559

Advancing to step 4:
1100 divided by 559 is 1 with a remainder of 541.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 559 from 1100, we get 541.
Include the next digit (9) from the dividend after 541, then repeat: 5419 / 559

On to step 5:
The number 559 fits into 5419 9 times, leaving a remainder of 388.
Write down 9 as next digit of the result. 
Result so far: 119.0
If we subtract 5031 from 5419, we get 388.
Take the next digit (0) from the dividend and append it to 388, then repeat: 3880 / 559

Advancing to step 6:
559 goes into 3880 6 times with a remainder of 526.
Record the quotient 6 as the next digit in the result. 
Result so far: 1196.0
Deduct 3354 from 3880 and we're left with 526.
Fetch the next digit (1) from the dividend, attach it to 526 and continue: 5261 / 559

Moving on to step 7:
The number 559 fits into 5261 9 times, leaving a remainder of 230.
Use 9 as the next digit of our solution. 
Result so far: 11969.0
Subtract 5031 from 5261 to get 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

Let's proceed to step 8:
If we divide 2300 by 559, we get 4 and a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 11969.4
Deduct 2236 from 2300 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 9:
The number 559 fits into 640 1 times, leaving a remainder of 81.
Put 1 as the next digit of the answer. 
Result so far: 11969.41
Subtracting 559 from 640 leaves us with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Advancing to step 10:
559 can be fit into 810 1 times, resulting in a remainder of 251.
The next digit of our result is 1. 
Result so far: 11969.411
If we take 559 away from 810, we end up with 251.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

The final outcome is 11969.411, with a leftover of 0.0251.