Answer :

To divide $3724$ by $20$, we first determine how many times $20$ fits completely into $3724$, and then we find what is left over (the remainder).

**Step 1. Find the Quotient**

We want to find an integer $q$ such that

$$
20 \times q \le 3724 < 20 \times (q+1).
$$

If we test $q = 186$, we calculate

$$
20 \times 186 = 3720.
$$

Since

$$
3720 \le 3724,
$$

we see that $20$ fits into $3724$ exactly $186$ times.

**Step 2. Find the Remainder**

The remainder $r$ is what is left when we subtract the product from the dividend, so

$$
r = 3724 - 20 \times 186.
$$

Calculate the difference:

$$
r = 3724 - 3720 = 4.
$$

**Final Answer**

Thus, the division of $3724$ by $20$ gives a quotient of $186$ with a remainder of $4$, which is written as

$$
186\, R4.
$$