What is the quotient? 780 divided by 6

Check the final answer first, then review the worked steps.

Problem

What is the quotient? 780 divided by 6

Answer

130

Step-by-step solution

  1. Set up the division: We need to divide 780 by 6. This can be written as a long division problem: $$ \frac{780}{6} $$ or $$ 6 \overline{)780} $$.

2. Divide the first digit: How many times does 6 go into 7? It goes in 1 time. Write 1 above the 7.
$$ \begin{array}{r} 1 \\ 6 \overline{)780} \end{array} $$

3. Multiply and subtract: Multiply the digit you just wrote (1) by the divisor (6): $1 \times 6 = 6$. Write 6 below the 7 and subtract: $7 - 6 = 1$.
$$ \begin{array}{r} 1 \\ 6 \overline{)780} \\ -6 \\ \hline 1 \end{array} $$

4. Bring down the next digit: Bring down the next digit from the dividend (8) next to the 1. This forms the number 18.
$$ \begin{array}{r} 1 \\ 6 \overline{)780} \\ -6 \\ \hline 18 \end{array} $$

5. Divide again: How many times does 6 go into 18? It goes in 3 times. Write 3 above the 8.
$$ \begin{array}{r} 13 \\ 6 \overline{)780} \\ -6 \\ \hline 18 \end{array} $$

6. Multiply and subtract: Multiply the digit you just wrote (3) by the divisor (6): $3 \times 6 = 18$. Write 18 below the 18 and subtract: $18 - 18 = 0$.
$$ \begin{array}{r} 13 \\ 6 \overline{)780} \\ -6 \\ \hline 18 \\ -18 \\ \hline 0 \end{array} $$

7. Bring down the last digit: Bring down the last digit from the dividend (0) next to the 0. This forms the number 0.
$$ \begin{array}{r} 13 \\ 6 \overline{)780} \\ -6 \\ \hline 18 \\ -18 \\ \hline 00 \end{array} $$

8. Divide one last time: How many times does 6 go into 0? It goes in 0 times. Write 0 above the 0.
$$ \begin{array}{r} 130 \\ 6 \overline{)780} \\ -6 \\ \hline 18 \\ -18 \\ \hline 00 \end{array} $$

9. Multiply and subtract: Multiply the digit you just wrote (0) by the divisor (6): $0 imes 6 = 0$. Write 0 below the 0 and subtract: $0 - 0 = 0$.
$$ \begin{array}{r} 130 \\ 6 \overline{)780} \\ -6 \\ \hline 18 \\ -18 \\ \hline 00 \\ -0 \\ \hline 0 \end{array} $$

  1. Final Answer: Since there are no more digits to bring down and the remainder is 0, the quotient is 130.