To divide \( 10,659 \) by \( 1.7 \) step by step, follow these steps:

### Step 1: Eliminate the Decimal from the Divisor
We can rewrite the division without decimals by multiplying both the dividend and divisor by 10.

\[
10659 \div 1.7 = \frac{10659 \times 10}{1.7 \times 10} = \frac{106590}{17}
\]

Now, the division is \( 106,590 \div 17 \).

### Step 2: Perform Long Division
Now divide \( 106,590 \) by \( 17 \) using long division.

1. **First digit**: \( 106 \div 17 = 6 \) (since \( 17 \times 6 = 102 \)).
   Subtract \( 102 \) from \( 106 \):
   \[
   106 - 102 = 4
   \]

2. **Next digit**: Bring down the next digit (5), so now we have \( 45 \).
   \( 45 \div 17 = 2 \) (since \( 17 \times 2 = 34 \)).
   Subtract \( 34 \) from \( 45 \):
   \[
   45 - 34 = 11
   \]

3. **Next digit**: Bring down the next digit (9), so now we have \( 119 \).
   \( 119 \div 17 = 7 \) (since \( 17 \times 7 = 119 \)).
   Subtract \( 119 \) from \( 119 \):
   \[
   119 - 119 = 0
   \]

4. **Next digit**: Bring down the final digit (0), so now we have \( 0 \).
   \( 0 \div 17 = 0 \).

Thus, \( 106,590 \div 17 = 6,270 \).

### Final Answer:
\[
10659 \div 1.7 = 6,270
\]

Do you want more details or have any questions?

Here are five related questions you might find useful:
1. How would you handle division with more complex decimals?
2. What is the difference between dividing by a decimal and a whole number?
3. How can you check your answer when dividing decimals?
4. Can you perform long division when the divisor is a decimal directly?
5. How does multiplying both the dividend and divisor by the same number affect the quotient?

**Tip**: Always eliminate the decimal from the divisor by multiplying both numbers by a power of 10 to simplify the division process.

Learn how to divide 10659 by 1.7 with a step-by-step explanation. This problem focuses on eliminating decimals from the divisor, performing long division, and simplifying the result. Suitable for Grades 5-7, it helps students understand division involving decimals.

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