What is the next digit in the quotient?
Check the final answer first, then review the worked steps.
Problem
What is the next digit in the quotient?
Answer
0
Step-by-step solution
- Identify the current step in the division: The image shows a long division problem where the divisor is 7 and the dividend is 2156. The quotient currently has a '3' in the hundreds place. The first step of the division has been completed: $7 \times 3 = 21$, and this is subtracted from the first two digits of the dividend ($21 - 21 = 0$).
- Bring down the next digit: The next digit in the dividend, which is '5', is brought down next to the '0', forming the number '05' or simply '5'.
- Determine the next digit in the quotient: We need to find how many times 7 goes into 5. Since 7 is larger than 5, it goes into 5 zero times. Therefore, the next digit in the quotient is 0.
- Perform the multiplication and subtraction for the next step: $7 \times 0 = 0$. Subtracting this from 5 gives $5 - 0 = 5$. This result is shown below the '05'.
- Bring down the final digit: The last digit of the dividend, '6', is brought down next to the '5', forming the number '56'.
- Determine the final digit in the quotient: We need to find how many times 7 goes into 56. $7 \times 8 = 56$. So, the next digit in the quotient is 8. The question asks for the next digit in the quotient, which is the digit we determined in step 3.