Today is Monday. After 61 days it will be:

Each day of the week is repeated after 7 days. So, after 63 days, it will be Monday.

$\therefore$ After 61 days, it will be Saturday.

Let’s consider two scenarios:

1. After 63 days: Since the week repeats every 7 days, we can divide 63 by 7. This division results in 9 full cycles of the week. As a result, 63 days later will fall on the same day of the week as today. Therefore, if today is Monday, 63 days from now will also be Monday.
2. After 61 days: To find the day after 61 days, we first divide 61 by 7, which gives a quotient of 8 (complete weeks) and a remainder of 5. This remainder indicates how many days beyond the last complete cycle we need to count. Starting from Monday and moving forward 5 days, we arrive at Saturday. So, after 61 days, it will be Saturday.

In summary, the cycle of 7 days allows us to determine the day of the week by considering both complete cycles and the remaining days.