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The image shows a long division problem where 90 is being divided by 55. Let's solve it step by step:

1. **Set up the division**: You are dividing 90 by 55. This can be written as \( 90 \div 55 \).

2. **Divide the first digit**: 55 goes into 90 one time since \( 55 \times 1 = 55 \), and \( 90 - 55 = 35 \).

3. **Express the remainder**: The remainder is 35. To continue, we add a decimal point and bring down a 0 to make it 350.

4. **Continue dividing**: Now divide 350 by 55. This goes 6 times because \( 55 \times 6 = 330 \), and \( 350 - 330 = 20 \).

5. **Next remainder**: Bring down another 0, making it 200.

6. **Final steps**: Divide 200 by 55, which gives approximately 3 since \( 55 \times 3 = 165 \), and \( 200 - 165 = 35 \).

Thus, the decimal form of \( 90 \div 55 \) is approximately **1.636**. In fraction form, it simplifies to \( \frac{18}{11} \).

Would you like more detailed steps or explanations?

Here are 5 related questions you can try:
1. What is the decimal representation of \( 45 \div 60 \)?
2. How would you simplify \( \frac{75}{125} \)?
3. What is the greatest common divisor (GCD) of 55 and 90?
4. How can you convert \( \frac{90}{55} \) into a mixed number?
5. If you divide 180 by 55, what is the result?

**Tip**: When dividing large numbers, converting them into fractions and simplifying can sometimes give more exact results than decimals!

Learn how to divide 90 by 55 using long division. This math problem involves dividing two-digit numbers and expressing the result as both a decimal and a simplified fraction. Follow the step-by-step solution to understand long division, remainders, and decimal expansion.

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