Solve 336\div13 | Equatix

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Question

$$336 \div 13$$

Evaluate

$\frac{336}{13}\approx 25.846153846$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $336$

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)336}\\\end{array}$$

Since $3$ is less than $13$, use the next digit $3$ from dividend $336$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)336}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $336$

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)336}\\\end{array}$$

Find closest multiple of $13$ to $33$. We see that $2 \times 13 = 26$ is the nearest. Now subtract $26$ from $33$ to get reminder $7$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{13)}02\phantom{4}\\13\overline{)336}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)9}7\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $336$

$$\begin{array}{l}\phantom{13)}02\phantom{5}\\13\overline{)336}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)9}76\\\end{array}$$

Find closest multiple of $13$ to $76$. We see that $5 \times 13 = 65$ is the nearest. Now subtract $65$ from $76$ to get reminder $11$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{13)}025\phantom{6}\\13\overline{)336}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)9}76\\\phantom{13)}\underline{\phantom{9}65\phantom{}}\\\phantom{13)9}11\\\end{array}$$

Since $11$ is less than $13$, stop the division. The reminder is $11$. The topmost line $025$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $25$.

$$\text{Quotient: }25$$ $$\text{Reminder: }11$$

Show Solution

Factor

$\frac{2 ^ {4} \cdot 3 \cdot 7}{13} = 25\frac{11}{13} = 25.846153846153847$