We look at the division of 3510003 by 497 
The aim is to understand the frequency of 497 in 3510003.

Advancing to step 1:
497 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 497

Advancing to step 2:
When dividing 35 by 497, we get 0 with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Bring next digit (1) of the dividend behind the 35 and repeat the process: 351 / 497

On to step 3:
If we divide 351 by 497, we get 0 and a remainder of 351.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 351, we end up with 351.
Include the next digit (0) from the dividend after 351, then repeat: 3510 / 497

Let's proceed to step 4:
If we divide 3510 by 497, we get 7 and a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 3479 away from 3510, we end up with 31.
Include the next digit (0) from the dividend after 31, then repeat: 310 / 497

Step 5:
The number 497 fits into 310 0 times, leaving a remainder of 310.
Use 0 as the next digit of our solution. 
Result so far: 70.0
If we take 0 away from 310, we end up with 310.
Take the next digit (0) from the dividend and append it to 310, then repeat: 3100 / 497

Advancing to step 6:
If we divide 3100 by 497, we get 6 and a remainder of 118.
Put 6 as the next digit of the answer. 
Result so far: 706.0
Deduct 2982 from 3100 and we're left with 118.
Take the next digit (3) from the dividend and append it to 118, then repeat: 1183 / 497

On to step 7:
1183 divided by 497 is 2 with a remainder of 189.
Write down 2 as next digit of the result. 
Result so far: 7062.0
If we subtract 994 from 1183, we get 189.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1890, and continue the process.

Moving on to step 8:
497 can be fit into 1890 3 times, resulting in a remainder of 399.
Write down 3 as next digit of the result. 
Result so far: 7062.3
Subtract 1491 from 1890 to get 399.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3990, and continue the process.

Advancing to step 9:
If we divide 3990 by 497, we get 8 and a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 7062.38
If we take 3976 away from 3990, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
The number 497 fits into 140 0 times, leaving a remainder of 140.
Record the quotient 0 as the next digit in the result. 
Result so far: 7062.38
Subtracting 0 from 140 leaves us with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

On to step 11:
1400 divided by 497 is 2 with a remainder of 406.
Write down 2 as next digit of the result. 
Result so far: 7062.3802
Subtracting 994 from 1400 leaves us with 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

Step 12:
4060 divided by 497 is 8 with a remainder of 84.
Use 8 as the next digit of our solution. 
Result so far: 7062.38028
Subtracting 3976 from 4060 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 13:
When dividing 840 by 497, we get 1 with a remainder of 343.
The number 1 becomes the next digit in our result. 
Result so far: 7062.380281
Deduct 497 from 840 and we're left with 343.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3430, and continue the process.

Advancing to step 14:
The number 497 fits into 3430 6 times, leaving a remainder of 448.
Use 6 as the next digit of our solution. 
Result so far: 7062.3802816
If we subtract 2982 from 3430, we get 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Let's proceed to step 15:
If we divide 4480 by 497, we get 9 and a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 7062.38028169
Subtracting 4473 from 4480 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 7062.38028169, and the remainder is 7e-09.