create 5 or more smaller friendly equations to solve 8158 divided by 5

no decimals, no fractions, only division,

1 answer

To break down the division of 8158 by 5 into smaller, friendly equations, we can use the property of division as repeated subtraction or distributive property. Here are five smaller equations that can help in solving the original problem:

  1. Divide 8000 by 5: \[ 8000 \div 5 = 1600 \]

  2. Divide 100 by 5: \[ 100 \div 5 = 20 \]

  3. Divide 50 by 5: \[ 50 \div 5 = 10 \]

  4. Divide 8 by 5: \[ 8 \div 5 = 1 \quad \text{(with a remainder of 3)} \]

  5. Combine the results: \[ 1600 + 20 + 10 + 1 = 1631 \quad \text{(and we have the remainder 3)} \]

Then, to account for the remainder from the last equation (3), we note that we cannot divide 3 by 5, which results in a remainder.

Putting it all together: \[ 8158 \div 5 = 1631 \quad \text{R}3 \]

Thus, while the final result from 8158 divided by 5 is 1631 with a remainder of 3, these friendly equations help us visualize and calculate the division step-by-step without needing to handle decimals or fractions.