Let's perform the division of [tex]\( 896 \)[/tex] by [tex]\( 30 \)[/tex] step by step:
1. Set Up the Problem:
- We want to divide 896 by 30. Here, 896 is the dividend and 30 is the divisor.
2. Determine How Many Times 30 Goes into 896:
- Start by seeing how many times 30 can go into the first digit (8). Since 8 is less than 30, it cannot go into 8. So, we consider the first two digits, 89.
- Determine how many times 30 can go into 89. Since [tex]\( 30 \times 2 = 60 \)[/tex] and [tex]\( 30 \times 3 = 90 \)[/tex] (which is too large), 30 goes into 89 two times. Place the 2 above the division bar.
3. Multiply and Subtract:
- Multiply 2 (the quotient from the previous step) by 30 to get 60.
- Subtract 60 from 89 to get 29. Write this as the new dividend segment.
4. Bring Down the Next Digit:
- Bring down the next digit from the original number (6 in this case) to make 296.
5. Repeat the Process:
- Now determine how many times 30 can go into 296. Calculate that [tex]\( 30 \times 9 = 270 \)[/tex] and [tex]\( 30 \times 10 = 300 \)[/tex]. Since 300 is too large, use 9.
- So, 30 goes into 296 nine times. Place the 9 above the division bar, right after the 2.
6. Multiply and Subtract:
- Multiply 9 (the new quotient) by 30 to get 270.
- Subtract 270 from 296 to get 26.
Thus, the final quotient is 29, and the remainder is 26. When you divide 896 by 30, the quotient is 29 and the remainder is 26.
