Get personalized and accurate responses to your questions with IDNLearn.com. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

Divide 969 by 26.

A. 29 r 17
B. 37 r 7
C. 28 r 5
D. 32 r 6


Sagot :

To divide 969 by 26 step-by-step:

1. Division Setup: We need to divide the dividend, which is 969, by the divisor, which is 26.

2. Find the Quotient:
- Determine how many whole times 26 can go into 969.
- Performing the division, we find that 26 fits into 969 a total of 37 times. This is our quotient.

3. Find the Remainder:
- After dividing 969 by 26 to get the quotient (37), we now multiply 37 by 26 to see how much of the dividend is covered.
- [tex]\( 37 \times 26 = 962 \)[/tex]
- Subtract this product from the original dividend:
[tex]\( 969 - 962 = 7 \)[/tex]
- Thus, the remainder is 7.

Putting it all together:
- The quotient is 37.
- The remainder is 7.

So, the division of 969 by 26 gives a quotient of 37 and a remainder of 7.

Therefore, the correct answer is:
B. 37 r 7