To solve this problem, we need to understand the concept of remainders and the pattern that emerges when we divide powers of 10 by 7.

When we divide 10 by 7, we get a quotient of 1 and a remainder of 3. This means that 10 divided by 7 is equal to 1 with a remainder of 3.

Now let`s consider the pattern when we divide powers of 10 by 7:

10^1 divided by 7 is equal to 1 with a remainder of 3.

10^2 divided by 7 is equal to 14 with a remainder of 2.

10^3 divided by 7 is equal to 142 with a remainder of 6.

10^4 divided by 7 is equal to 1428 with a remainder of 4.

10^5 divided by 7 is equal to 14285 with a remainder of 1.

10^6 divided by 7 is equal to 142857 with a remainder of 3.

If we continue this pattern, we can see that the remainder repeats after every 6 powers of 10. Since we are dividing 10^20 by 7, we can find the remainder by finding the remainder when 20 is divided