Final Answer:
345 divided by 26 using long division is 13 with a remainder of 7.
Step By Step Explanation:
1. First, set up the division problem by writing the dividend (345) inside the long division symbol (÷), and the divisor (26) outside the symbol.
```
345 ÷ 26
```
2. Divide the first digit of the dividend (3) by the divisor (26). Since 3 is smaller than 26, we bring down the next digit from the dividend to form the partial quotient.
```
3
-----
26| 345
```
3. Now, divide 34 by 26. The quotient is 1 (because 26 can go into 34 once), and the remainder is 8 (subtract 26 from 34).
```
3
-----
26| 345
-26
-----
85
```
4. Bring down the next digit from the dividend, which is 5. Now, divide 85 by 26. The quotient is 3 (because 26 can go into 85 three times), and the remainder is 7 (subtract 3 times 26 from 85).
```
37
-----
26| 345
-26
-----
85
-78
-----
7
```
5. Since there are no more digits in the dividend, and the remainder (7) is smaller than the divisor (26), we have reached the end of the division.
Therefore, the answer to 345 divided by 26 using long division is 13 with a remainder of 7.