Step-by-step explanation:
Sure, here are the steps to solve the division problem \( 2690.256 \div 169.03248 \):
1. Align the decimal points in the dividend and divisor.
2. Perform the division as usual, but ignore the decimal points initially.
3. Count the total number of decimal places in both the dividend and divisor.
4. Place the decimal point in the quotient directly above where it appears in the dividend.
5. Perform the division, including the decimal places.
Here's the solution:
```
159
___________
169.03248 | 2690.256
```
We start by dividing 2690 by 169, which gives us 15. Then, we multiply 15 by 169, which gives 2535. Subtracting 2535 from 2690 gives us a remainder of 155.
```
159
___________
169.03248 | 2690.256
-2535
______
155
```
Next, we bring down the next digit, which is 2. We add a decimal point to the quotient and place it above the decimal point in the dividend. Then, we divide 155 by 169, which gives us 0.917, approximately.
```
159.
___________
169.03248 | 2690.256
-2535
______
1550
-1521
______
29
```
Now, we bring down the next digit, which is 0. We add a zero to the quotient and continue. We then get the remainder as 290, and we bring down the next digit, which is 2, and continue the process.
```
159.0
___________
169.03248 | 2690.256
-2535
______
1550
-1521
______
2900
-2538
_______
362
```
Continuing the process, we get a quotient of approximately 15.9.
So, \( 2690.256 \div 169.03248 \approx 15.9 \)
