To solve the division of 6841 by 30 using smaller and friendly equations, we can break it down as follows:
- \( 6000 \div 30 = 200 \)
- \( 800 \div 30 = 26 \) (with a remainder of 20)
- \( 20 \div 30 = 0 \) (with a remainder of 20)
- \( 1 \div 30 = 0 \) (with a remainder of 1)
- \( 41 \div 30 = 1 \) (with a remainder of 11)
Now, we can combine these results:
- Start with 200 from the first equation (6000).
- Add 26 from the second equation (800).
- Add 1 from the fifth equation (41).
Adding these, we get:
- \( 200 + 26 + 1 = 227 \)
The overall division gives:
- \( 6841 \div 30 = 227 \) with a remainder.
So the final answer is:
- Quotient = 227 with a remainder of 11.
However, for a clean integer division, the quotient is 227.