How to solve 6932570/642

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 6932570/642 | Equatix

Use the $1^{st}$ digit $6$ from dividend $6932570$

$$\begin{array}{l}\phantom{642)}\phantom{1}\\642\overline{)6932570}\\\end{array}$$

Since $6$ is less than $642$, use the next digit $9$ from dividend $6932570$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{642)}0\phantom{2}\\642\overline{)6932570}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $6932570$

$$\begin{array}{l}\phantom{642)}0\phantom{3}\\642\overline{)6932570}\\\end{array}$$

Since $69$ is less than $642$, use the next digit $3$ from dividend $6932570$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{642)}00\phantom{4}\\642\overline{)6932570}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $6932570$

$$\begin{array}{l}\phantom{642)}00\phantom{5}\\642\overline{)6932570}\\\end{array}$$

Find closest multiple of $642$ to $693$. We see that $1 \times 642 = 642$ is the nearest. Now subtract $642$ from $693$ to get reminder $51$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{642)}001\phantom{6}\\642\overline{)6932570}\\\phantom{642)}\underline{\phantom{}642\phantom{9999}}\\\phantom{642)9}51\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $6932570$

$$\begin{array}{l}\phantom{642)}001\phantom{7}\\642\overline{)6932570}\\\phantom{642)}\underline{\phantom{}642\phantom{9999}}\\\phantom{642)9}512\\\end{array}$$

Since $512$ is less than $642$, use the next digit $5$ from dividend $6932570$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{642)}0010\phantom{8}\\642\overline{)6932570}\\\phantom{642)}\underline{\phantom{}642\phantom{9999}}\\\phantom{642)9}512\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $6932570$

$$\begin{array}{l}\phantom{642)}0010\phantom{9}\\642\overline{)6932570}\\\phantom{642)}\underline{\phantom{}642\phantom{9999}}\\\phantom{642)9}5125\\\end{array}$$

Find closest multiple of $642$ to $5125$. We see that $7 \times 642 = 4494$ is the nearest. Now subtract $4494$ from $5125$ to get reminder $631$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{642)}00107\phantom{10}\\642\overline{)6932570}\\\phantom{642)}\underline{\phantom{}642\phantom{9999}}\\\phantom{642)9}5125\\\phantom{642)}\underline{\phantom{9}4494\phantom{99}}\\\phantom{642)99}631\\\end{array}$$

Use the $6^{th}$ digit $7$ from dividend $6932570$

$$\begin{array}{l}\phantom{642)}00107\phantom{11}\\642\overline{)6932570}\\\phantom{642)}\underline{\phantom{}642\phantom{9999}}\\\phantom{642)9}5125\\\phantom{642)}\underline{\phantom{9}4494\phantom{99}}\\\phantom{642)99}6317\\\end{array}$$

Find closest multiple of $642$ to $6317$. We see that $9 \times 642 = 5778$ is the nearest. Now subtract $5778$ from $6317$ to get reminder $539$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{642)}001079\phantom{12}\\642\overline{)6932570}\\\phantom{642)}\underline{\phantom{}642\phantom{9999}}\\\phantom{642)9}5125\\\phantom{642)}\underline{\phantom{9}4494\phantom{99}}\\\phantom{642)99}6317\\\phantom{642)}\underline{\phantom{99}5778\phantom{9}}\\\phantom{642)999}539\\\end{array}$$

Use the $7^{th}$ digit $0$ from dividend $6932570$

$$\begin{array}{l}\phantom{642)}001079\phantom{13}\\642\overline{)6932570}\\\phantom{642)}\underline{\phantom{}642\phantom{9999}}\\\phantom{642)9}5125\\\phantom{642)}\underline{\phantom{9}4494\phantom{99}}\\\phantom{642)99}6317\\\phantom{642)}\underline{\phantom{99}5778\phantom{9}}\\\phantom{642)999}5390\\\end{array}$$

Find closest multiple of $642$ to $5390$. We see that $8 \times 642 = 5136$ is the nearest. Now subtract $5136$ from $5390$ to get reminder $254$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{642)}0010798\phantom{14}\\642\overline{)6932570}\\\phantom{642)}\underline{\phantom{}642\phantom{9999}}\\\phantom{642)9}5125\\\phantom{642)}\underline{\phantom{9}4494\phantom{99}}\\\phantom{642)99}6317\\\phantom{642)}\underline{\phantom{99}5778\phantom{9}}\\\phantom{642)999}5390\\\phantom{642)}\underline{\phantom{999}5136\phantom{}}\\\phantom{642)9999}254\\\end{array}$$

Since $254$ is less than $642$, stop the division. The reminder is $254$. The topmost line $0010798$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $10798$.

$$\text{Quotient: }10798$$ $$\text{Reminder: }254$$

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