Let's solve the division problem step-by-step to find the result of [tex]\( 169390 \div 13 \)[/tex].
1. Identify the Dividend and Divisor:
- The dividend is 169390.
- The divisor is 13.
2. Perform the Division:
- We need to divide 169390 by 13.
3. Step-by-Step Long Division:
First, divide the leading digits that form a number greater than or equal to 13. We start from the left.
- 16 divided by 13 equals 1 with a remainder of 3.
- Write 1 in the quotient.
- Subtract [tex]\( 1 \times 13 \)[/tex] from 16 to get the remainder 3.
- Bring down the next digit, 9, making the new number 39.
- 39 divided by 13 equals 3 with a remainder of 0.
- Write 3 in the quotient next to 1.
- Subtract [tex]\( 3 \times 13 \)[/tex] from 39 to get the remainder 0.
- Bring down the next digit, 3, making the new number 3.
- 3 divided by 13 gives us 0 with a remainder of 3.
- Write 0 in the quotient next to 13.
- Bring down the next digit, 9, making the new number 39.
- 39 divided by 13 again equals 3 with a remainder of 0.
- Write 3 in the quotient next to 130.
- Subtract [tex]\( 3 \times 13 \)[/tex] from 39 to get the remainder 0.
- Bring down the last digit, 0, making the new number 0.
- 0 divided by 13 equals 0 with a remainder of 0.
- Write 0 in the quotient next to 1303.
4. Combine the Quotient Digits:
- The complete quotient from the steps is 13030.
Therefore, the result of [tex]\( 169390 \div 13 \)[/tex] is:
[tex]\[ \boxed{13030} \][/tex]
So, the correct answer is:
(D) 13030
