17585633 ÷ 638 
The aim is to understand the frequency of 638 in 17585633.

Advancing to step 1:
If we divide 1 by 638, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 638

Advancing to step 2:
638 can be fit into 17 0 times, resulting in a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 638

On to step 3:
638 goes into 175 0 times with a remainder of 175.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 175 to get 175.
Take the next digit (8) from the dividend and append it to 175, then repeat: 1758 / 638

Going ahead to step 4:
The number 638 fits into 1758 2 times, leaving a remainder of 482.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 1276 away from 1758, we end up with 482.
Append the next digit (5) from the dividend to 482 and continue with: 4825 / 638

Going ahead to step 5:
If we divide 4825 by 638, we get 7 and a remainder of 359.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Deduct 4466 from 4825 and we're left with 359.
Include the next digit (6) from the dividend after 359, then repeat: 3596 / 638

On to step 6:
3596 divided by 638 is 5 with a remainder of 406.
Use 5 as the next digit of our solution. 
Result so far: 275.0
If we take 3190 away from 3596, we end up with 406.
Take the next digit (3) from the dividend and append it to 406, then repeat: 4063 / 638

Advancing to step 7:
When dividing 4063 by 638, we get 6 with a remainder of 235.
Put 6 as the next digit of the answer. 
Result so far: 2756.0
Subtracting 3828 from 4063 leaves us with 235.
Append the next digit (3) from the dividend to 235 and continue with: 2353 / 638

Advancing to step 8:
If we divide 2353 by 638, we get 3 and a remainder of 439.
Use 3 as the next digit of our solution. 
Result so far: 27563.0
Deduct 1914 from 2353 and we're left with 439.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4390, and continue the process.

Let's proceed to step 9:
The number 638 fits into 4390 6 times, leaving a remainder of 562.
Put 6 as the next digit of the answer. 
Result so far: 27563.6
The remainder is 562 after subtracting 3828 from 4390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Advancing to step 10:
When dividing 5620 by 638, we get 8 with a remainder of 516.
Write down 8 as next digit of the result. 
Result so far: 27563.68
If we subtract 5104 from 5620, we get 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

Going ahead to step 11:
If we divide 5160 by 638, we get 8 and a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 27563.688
Subtract 5104 from 5160 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

After the division, we end up with 27563.688 and a remainder of 0.0056.