36 divided by 540

36 divided by 540. Divide. Use partial quotients.

The correct answer and explanation is:

✅ Correct Answer:

36 ÷ 540 = 15

📘 Explanation Using Partial Quotients (and 300-word explanation):

The partial quotients method is a division strategy where we repeatedly subtract “easy multiples” of the divisor (36 in this case) from the dividend (540), then add those partial quotients together.

🔢 Step-by-Step with Partial Quotients:

We are solving:

540 ÷ 36

Let’s break this down:

1. Start by estimating how many times 36 fits into 540.
   • 36 × 10 = 360 → that’s a good starting multiple.
   • 540 − 360 = 180 → we subtract this from 540.
2. Now divide what’s left:
   • We still have 180 left.
   • 36 × 5 = 180 → another good multiple.
3. Now subtract again:
   • 180 − 180 = 0 → nothing left.
4. Now add the partial quotients:
   • First partial quotient: 10
   • Second partial quotient: 5
   • Total: 10 + 5 = 15

So,

540 ÷ 36 = 15

🧠 Why Partial Quotients Work:

The partial quotients method is especially helpful for students learning division, as it doesn’t require exact division in a single step. Instead, it breaks the problem into chunks that are easier to handle. We find “partial” quotients (easy multiples of the divisor), subtract them, and keep going until nothing is left. Then, we add up those partial values.

It promotes number sense by encouraging estimation and understanding place value. Even if the division isn’t exact, this method still works—it just continues until you’ve subtracted as far as possible.

✅ Final Answer:

36 goes into 540 exactly 15 times.