How to solve (6479825)/(243)

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 (6479825)/(243) | Equatix

Use the $1^{st}$ digit $6$ from dividend $6479825$

$$\begin{array}{l}\phantom{243)}\phantom{1}\\243\overline{)6479825}\\\end{array}$$

Since $6$ is less than $243$, use the next digit $4$ from dividend $6479825$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{243)}0\phantom{2}\\243\overline{)6479825}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $6479825$

$$\begin{array}{l}\phantom{243)}0\phantom{3}\\243\overline{)6479825}\\\end{array}$$

Since $64$ is less than $243$, use the next digit $7$ from dividend $6479825$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{243)}00\phantom{4}\\243\overline{)6479825}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $6479825$

$$\begin{array}{l}\phantom{243)}00\phantom{5}\\243\overline{)6479825}\\\end{array}$$

Find closest multiple of $243$ to $647$. We see that $2 \times 243 = 486$ is the nearest. Now subtract $486$ from $647$ to get reminder $161$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{243)}002\phantom{6}\\243\overline{)6479825}\\\phantom{243)}\underline{\phantom{}486\phantom{9999}}\\\phantom{243)}161\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $6479825$

$$\begin{array}{l}\phantom{243)}002\phantom{7}\\243\overline{)6479825}\\\phantom{243)}\underline{\phantom{}486\phantom{9999}}\\\phantom{243)}1619\\\end{array}$$

Find closest multiple of $243$ to $1619$. We see that $6 \times 243 = 1458$ is the nearest. Now subtract $1458$ from $1619$ to get reminder $161$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{243)}0026\phantom{8}\\243\overline{)6479825}\\\phantom{243)}\underline{\phantom{}486\phantom{9999}}\\\phantom{243)}1619\\\phantom{243)}\underline{\phantom{}1458\phantom{999}}\\\phantom{243)9}161\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $6479825$

$$\begin{array}{l}\phantom{243)}0026\phantom{9}\\243\overline{)6479825}\\\phantom{243)}\underline{\phantom{}486\phantom{9999}}\\\phantom{243)}1619\\\phantom{243)}\underline{\phantom{}1458\phantom{999}}\\\phantom{243)9}1618\\\end{array}$$

Find closest multiple of $243$ to $1618$. We see that $6 \times 243 = 1458$ is the nearest. Now subtract $1458$ from $1618$ to get reminder $160$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{243)}00266\phantom{10}\\243\overline{)6479825}\\\phantom{243)}\underline{\phantom{}486\phantom{9999}}\\\phantom{243)}1619\\\phantom{243)}\underline{\phantom{}1458\phantom{999}}\\\phantom{243)9}1618\\\phantom{243)}\underline{\phantom{9}1458\phantom{99}}\\\phantom{243)99}160\\\end{array}$$

Use the $6^{th}$ digit $2$ from dividend $6479825$

$$\begin{array}{l}\phantom{243)}00266\phantom{11}\\243\overline{)6479825}\\\phantom{243)}\underline{\phantom{}486\phantom{9999}}\\\phantom{243)}1619\\\phantom{243)}\underline{\phantom{}1458\phantom{999}}\\\phantom{243)9}1618\\\phantom{243)}\underline{\phantom{9}1458\phantom{99}}\\\phantom{243)99}1602\\\end{array}$$

Find closest multiple of $243$ to $1602$. We see that $6 \times 243 = 1458$ is the nearest. Now subtract $1458$ from $1602$ to get reminder $144$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{243)}002666\phantom{12}\\243\overline{)6479825}\\\phantom{243)}\underline{\phantom{}486\phantom{9999}}\\\phantom{243)}1619\\\phantom{243)}\underline{\phantom{}1458\phantom{999}}\\\phantom{243)9}1618\\\phantom{243)}\underline{\phantom{9}1458\phantom{99}}\\\phantom{243)99}1602\\\phantom{243)}\underline{\phantom{99}1458\phantom{9}}\\\phantom{243)999}144\\\end{array}$$

Use the $7^{th}$ digit $5$ from dividend $6479825$

$$\begin{array}{l}\phantom{243)}002666\phantom{13}\\243\overline{)6479825}\\\phantom{243)}\underline{\phantom{}486\phantom{9999}}\\\phantom{243)}1619\\\phantom{243)}\underline{\phantom{}1458\phantom{999}}\\\phantom{243)9}1618\\\phantom{243)}\underline{\phantom{9}1458\phantom{99}}\\\phantom{243)99}1602\\\phantom{243)}\underline{\phantom{99}1458\phantom{9}}\\\phantom{243)999}1445\\\end{array}$$

Find closest multiple of $243$ to $1445$. We see that $5 \times 243 = 1215$ is the nearest. Now subtract $1215$ from $1445$ to get reminder $230$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{243)}0026665\phantom{14}\\243\overline{)6479825}\\\phantom{243)}\underline{\phantom{}486\phantom{9999}}\\\phantom{243)}1619\\\phantom{243)}\underline{\phantom{}1458\phantom{999}}\\\phantom{243)9}1618\\\phantom{243)}\underline{\phantom{9}1458\phantom{99}}\\\phantom{243)99}1602\\\phantom{243)}\underline{\phantom{99}1458\phantom{9}}\\\phantom{243)999}1445\\\phantom{243)}\underline{\phantom{999}1215\phantom{}}\\\phantom{243)9999}230\\\end{array}$$

Since $230$ is less than $243$, stop the division. The reminder is $230$. The topmost line $0026665$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $26665$.

$$\text{Quotient: }26665$$ $$\text{Reminder: }230$$

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