How to solve 695675/13

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 695675/13 | Equatix

Use the $1^{st}$ digit $6$ from dividend $695675$

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)695675}\\\end{array}$$

Since $6$ is less than $13$, use the next digit $9$ from dividend $695675$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)695675}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $695675$

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)695675}\\\end{array}$$

Find closest multiple of $13$ to $69$. We see that $5 \times 13 = 65$ is the nearest. Now subtract $65$ from $69$ to get reminder $4$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{13)}05\phantom{4}\\13\overline{)695675}\\\phantom{13)}\underline{\phantom{}65\phantom{9999}}\\\phantom{13)9}4\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $695675$

$$\begin{array}{l}\phantom{13)}05\phantom{5}\\13\overline{)695675}\\\phantom{13)}\underline{\phantom{}65\phantom{9999}}\\\phantom{13)9}45\\\end{array}$$

Find closest multiple of $13$ to $45$. We see that $3 \times 13 = 39$ is the nearest. Now subtract $39$ from $45$ to get reminder $6$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{13)}053\phantom{6}\\13\overline{)695675}\\\phantom{13)}\underline{\phantom{}65\phantom{9999}}\\\phantom{13)9}45\\\phantom{13)}\underline{\phantom{9}39\phantom{999}}\\\phantom{13)99}6\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $695675$

$$\begin{array}{l}\phantom{13)}053\phantom{7}\\13\overline{)695675}\\\phantom{13)}\underline{\phantom{}65\phantom{9999}}\\\phantom{13)9}45\\\phantom{13)}\underline{\phantom{9}39\phantom{999}}\\\phantom{13)99}66\\\end{array}$$

Find closest multiple of $13$ to $66$. We see that $5 \times 13 = 65$ is the nearest. Now subtract $65$ from $66$ to get reminder $1$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{13)}0535\phantom{8}\\13\overline{)695675}\\\phantom{13)}\underline{\phantom{}65\phantom{9999}}\\\phantom{13)9}45\\\phantom{13)}\underline{\phantom{9}39\phantom{999}}\\\phantom{13)99}66\\\phantom{13)}\underline{\phantom{99}65\phantom{99}}\\\phantom{13)999}1\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $695675$

$$\begin{array}{l}\phantom{13)}0535\phantom{9}\\13\overline{)695675}\\\phantom{13)}\underline{\phantom{}65\phantom{9999}}\\\phantom{13)9}45\\\phantom{13)}\underline{\phantom{9}39\phantom{999}}\\\phantom{13)99}66\\\phantom{13)}\underline{\phantom{99}65\phantom{99}}\\\phantom{13)999}17\\\end{array}$$

Find closest multiple of $13$ to $17$. We see that $1 \times 13 = 13$ is the nearest. Now subtract $13$ from $17$ to get reminder $4$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{13)}05351\phantom{10}\\13\overline{)695675}\\\phantom{13)}\underline{\phantom{}65\phantom{9999}}\\\phantom{13)9}45\\\phantom{13)}\underline{\phantom{9}39\phantom{999}}\\\phantom{13)99}66\\\phantom{13)}\underline{\phantom{99}65\phantom{99}}\\\phantom{13)999}17\\\phantom{13)}\underline{\phantom{999}13\phantom{9}}\\\phantom{13)9999}4\\\end{array}$$

Use the $6^{th}$ digit $5$ from dividend $695675$

$$\begin{array}{l}\phantom{13)}05351\phantom{11}\\13\overline{)695675}\\\phantom{13)}\underline{\phantom{}65\phantom{9999}}\\\phantom{13)9}45\\\phantom{13)}\underline{\phantom{9}39\phantom{999}}\\\phantom{13)99}66\\\phantom{13)}\underline{\phantom{99}65\phantom{99}}\\\phantom{13)999}17\\\phantom{13)}\underline{\phantom{999}13\phantom{9}}\\\phantom{13)9999}45\\\end{array}$$

Find closest multiple of $13$ to $45$. We see that $3 \times 13 = 39$ is the nearest. Now subtract $39$ from $45$ to get reminder $6$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{13)}053513\phantom{12}\\13\overline{)695675}\\\phantom{13)}\underline{\phantom{}65\phantom{9999}}\\\phantom{13)9}45\\\phantom{13)}\underline{\phantom{9}39\phantom{999}}\\\phantom{13)99}66\\\phantom{13)}\underline{\phantom{99}65\phantom{99}}\\\phantom{13)999}17\\\phantom{13)}\underline{\phantom{999}13\phantom{9}}\\\phantom{13)9999}45\\\phantom{13)}\underline{\phantom{9999}39\phantom{}}\\\phantom{13)99999}6\\\end{array}$$

Since $6$ is less than $13$, stop the division. The reminder is $6$. The topmost line $053513$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $53513$.

$$\text{Quotient: }53513$$ $$\text{Reminder: }6$$

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