11005731 divided by 690 
The aim is to understand the frequency of 690 in 11005731.

Step 1:
690 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 690

Let's proceed to step 2:
When dividing 11 by 690, we get 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 690

Let's proceed to step 3:
If we divide 110 by 690, we get 0 and a remainder of 110.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 110, we end up with 110.
Take the next digit (0) from the dividend and append it to 110, then repeat: 1100 / 690

Going ahead to step 4:
The number 690 fits into 1100 1 times, leaving a remainder of 410.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 410 after subtracting 690 from 1100.
Fetch the next digit (5) from the dividend, attach it to 410 and continue: 4105 / 690

Moving on to step 5:
When dividing 4105 by 690, we get 5 with a remainder of 655.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtracting 3450 from 4105 leaves us with 655.
Grab the next digit (7) from the dividend, add it to 655, then carry on: 6557 / 690

On to step 6:
When dividing 6557 by 690, we get 9 with a remainder of 347.
Use 9 as the next digit of our solution. 
Result so far: 159.0
The remainder is 347 after subtracting 6210 from 6557.
Bring next digit (3) of the dividend behind the 347 and repeat the process: 3473 / 690

Moving on to step 7:
The number 690 fits into 3473 5 times, leaving a remainder of 23.
Write down 5 as next digit of the result. 
Result so far: 1595.0
If we take 3450 away from 3473, we end up with 23.
Take the next digit (1) from the dividend and append it to 23, then repeat: 231 / 690

Going ahead to step 8:
When dividing 231 by 690, we get 0 with a remainder of 231.
Record the quotient 0 as the next digit in the result. 
Result so far: 15950.0
The remainder is 231 after subtracting 0 from 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

On to step 9:
When dividing 2310 by 690, we get 3 with a remainder of 240.
The next digit of our result is 3. 
Result so far: 15950.3
The remainder is 240 after subtracting 2070 from 2310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Step 10:
The number 690 fits into 2400 3 times, leaving a remainder of 330.
The number 3 becomes the next digit in our result. 
Result so far: 15950.33
Subtracting 2070 from 2400 leaves us with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

The quotient of the division is 15950.33, and the remainder is 0.33.