create up to 5 or more smaller friendly equations to solve 543 divided by 15

Question

no decimals, no fractions, only division,

Answer 1

Sure! Here are five smaller friendly equations that help in solving \(543 \div 15\) using only division:

1. Break down 543:
   \(540 \div 15\) (easier number to work with)
   \(540 \div 15 = 36\)

2. Leftover from 540:
   \(3 \div 15\)
   Since \(3 < 15\), this equals \(0\).

Combining these gives us:
\[ 543 \div 15 = 36 + 0 = 36 \]

3. Using multiples of 15:
   \(15 \div 15 = 1\)
   \(30 \div 15 = 2\)
   \(45 \div 15 = 3\)
   \(60 \div 15 = 4\)
   \(540 \div 15 = 36\) (this leads us back to the earlier equation)

4. Another approach with adjustments:
   \(525 \div 15 = 35\)
   Next, consider the remaining:
   \(18 \div 15 = 1\) (18 is \(543 - 525\))

5. Re-checking larger parts:
   \(150 \div 15 = 10\)
   \(300 \div 15 = 20\)
   Then, adding those gives
   \(10 + 20 + 6 \div 15 = 36\) when calculated incrementally.

Combining these methods confirms the final solution, \[ 543 \div 15 = 36 \]