How to solve 764238/25

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 764238/25 | Equatix

Use the $1^{st}$ digit $7$ from dividend $764238$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)764238}\\\end{array}$$

Since $7$ is less than $25$, use the next digit $6$ from dividend $764238$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)764238}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $764238$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)764238}\\\end{array}$$

Find closest multiple of $25$ to $76$. We see that $3 \times 25 = 75$ is the nearest. Now subtract $75$ from $76$ to get reminder $1$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{25)}03\phantom{4}\\25\overline{)764238}\\\phantom{25)}\underline{\phantom{}75\phantom{9999}}\\\phantom{25)9}1\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $764238$

$$\begin{array}{l}\phantom{25)}03\phantom{5}\\25\overline{)764238}\\\phantom{25)}\underline{\phantom{}75\phantom{9999}}\\\phantom{25)9}14\\\end{array}$$

Since $14$ is less than $25$, use the next digit $2$ from dividend $764238$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}030\phantom{6}\\25\overline{)764238}\\\phantom{25)}\underline{\phantom{}75\phantom{9999}}\\\phantom{25)9}14\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $764238$

$$\begin{array}{l}\phantom{25)}030\phantom{7}\\25\overline{)764238}\\\phantom{25)}\underline{\phantom{}75\phantom{9999}}\\\phantom{25)9}142\\\end{array}$$

Find closest multiple of $25$ to $142$. We see that $5 \times 25 = 125$ is the nearest. Now subtract $125$ from $142$ to get reminder $17$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{25)}0305\phantom{8}\\25\overline{)764238}\\\phantom{25)}\underline{\phantom{}75\phantom{9999}}\\\phantom{25)9}142\\\phantom{25)}\underline{\phantom{9}125\phantom{99}}\\\phantom{25)99}17\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $764238$

$$\begin{array}{l}\phantom{25)}0305\phantom{9}\\25\overline{)764238}\\\phantom{25)}\underline{\phantom{}75\phantom{9999}}\\\phantom{25)9}142\\\phantom{25)}\underline{\phantom{9}125\phantom{99}}\\\phantom{25)99}173\\\end{array}$$

Find closest multiple of $25$ to $173$. We see that $6 \times 25 = 150$ is the nearest. Now subtract $150$ from $173$ to get reminder $23$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{25)}03056\phantom{10}\\25\overline{)764238}\\\phantom{25)}\underline{\phantom{}75\phantom{9999}}\\\phantom{25)9}142\\\phantom{25)}\underline{\phantom{9}125\phantom{99}}\\\phantom{25)99}173\\\phantom{25)}\underline{\phantom{99}150\phantom{9}}\\\phantom{25)999}23\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $764238$

$$\begin{array}{l}\phantom{25)}03056\phantom{11}\\25\overline{)764238}\\\phantom{25)}\underline{\phantom{}75\phantom{9999}}\\\phantom{25)9}142\\\phantom{25)}\underline{\phantom{9}125\phantom{99}}\\\phantom{25)99}173\\\phantom{25)}\underline{\phantom{99}150\phantom{9}}\\\phantom{25)999}238\\\end{array}$$

Find closest multiple of $25$ to $238$. We see that $9 \times 25 = 225$ is the nearest. Now subtract $225$ from $238$ to get reminder $13$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{25)}030569\phantom{12}\\25\overline{)764238}\\\phantom{25)}\underline{\phantom{}75\phantom{9999}}\\\phantom{25)9}142\\\phantom{25)}\underline{\phantom{9}125\phantom{99}}\\\phantom{25)99}173\\\phantom{25)}\underline{\phantom{99}150\phantom{9}}\\\phantom{25)999}238\\\phantom{25)}\underline{\phantom{999}225\phantom{}}\\\phantom{25)9999}13\\\end{array}$$

Since $13$ is less than $25$, stop the division. The reminder is $13$. The topmost line $030569$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $30569$.

$$\text{Quotient: }30569$$ $$\text{Reminder: }13$$

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