How to solve 834638/38

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 834638/38 | Equatix

Use the $1^{st}$ digit $8$ from dividend $834638$

$$\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)834638}\\\end{array}$$

Since $8$ is less than $38$, use the next digit $3$ from dividend $834638$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)834638}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $834638$

$$\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)834638}\\\end{array}$$

Find closest multiple of $38$ to $83$. We see that $2 \times 38 = 76$ is the nearest. Now subtract $76$ from $83$ to get reminder $7$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{38)}02\phantom{4}\\38\overline{)834638}\\\phantom{38)}\underline{\phantom{}76\phantom{9999}}\\\phantom{38)9}7\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $834638$

$$\begin{array}{l}\phantom{38)}02\phantom{5}\\38\overline{)834638}\\\phantom{38)}\underline{\phantom{}76\phantom{9999}}\\\phantom{38)9}74\\\end{array}$$

Find closest multiple of $38$ to $74$. We see that $1 \times 38 = 38$ is the nearest. Now subtract $38$ from $74$ to get reminder $36$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{38)}021\phantom{6}\\38\overline{)834638}\\\phantom{38)}\underline{\phantom{}76\phantom{9999}}\\\phantom{38)9}74\\\phantom{38)}\underline{\phantom{9}38\phantom{999}}\\\phantom{38)9}36\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $834638$

$$\begin{array}{l}\phantom{38)}021\phantom{7}\\38\overline{)834638}\\\phantom{38)}\underline{\phantom{}76\phantom{9999}}\\\phantom{38)9}74\\\phantom{38)}\underline{\phantom{9}38\phantom{999}}\\\phantom{38)9}366\\\end{array}$$

Find closest multiple of $38$ to $366$. We see that $9 \times 38 = 342$ is the nearest. Now subtract $342$ from $366$ to get reminder $24$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{38)}0219\phantom{8}\\38\overline{)834638}\\\phantom{38)}\underline{\phantom{}76\phantom{9999}}\\\phantom{38)9}74\\\phantom{38)}\underline{\phantom{9}38\phantom{999}}\\\phantom{38)9}366\\\phantom{38)}\underline{\phantom{9}342\phantom{99}}\\\phantom{38)99}24\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $834638$

$$\begin{array}{l}\phantom{38)}0219\phantom{9}\\38\overline{)834638}\\\phantom{38)}\underline{\phantom{}76\phantom{9999}}\\\phantom{38)9}74\\\phantom{38)}\underline{\phantom{9}38\phantom{999}}\\\phantom{38)9}366\\\phantom{38)}\underline{\phantom{9}342\phantom{99}}\\\phantom{38)99}243\\\end{array}$$

Find closest multiple of $38$ to $243$. We see that $6 \times 38 = 228$ is the nearest. Now subtract $228$ from $243$ to get reminder $15$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{38)}02196\phantom{10}\\38\overline{)834638}\\\phantom{38)}\underline{\phantom{}76\phantom{9999}}\\\phantom{38)9}74\\\phantom{38)}\underline{\phantom{9}38\phantom{999}}\\\phantom{38)9}366\\\phantom{38)}\underline{\phantom{9}342\phantom{99}}\\\phantom{38)99}243\\\phantom{38)}\underline{\phantom{99}228\phantom{9}}\\\phantom{38)999}15\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $834638$

$$\begin{array}{l}\phantom{38)}02196\phantom{11}\\38\overline{)834638}\\\phantom{38)}\underline{\phantom{}76\phantom{9999}}\\\phantom{38)9}74\\\phantom{38)}\underline{\phantom{9}38\phantom{999}}\\\phantom{38)9}366\\\phantom{38)}\underline{\phantom{9}342\phantom{99}}\\\phantom{38)99}243\\\phantom{38)}\underline{\phantom{99}228\phantom{9}}\\\phantom{38)999}158\\\end{array}$$

Find closest multiple of $38$ to $158$. We see that $4 \times 38 = 152$ is the nearest. Now subtract $152$ from $158$ to get reminder $6$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{38)}021964\phantom{12}\\38\overline{)834638}\\\phantom{38)}\underline{\phantom{}76\phantom{9999}}\\\phantom{38)9}74\\\phantom{38)}\underline{\phantom{9}38\phantom{999}}\\\phantom{38)9}366\\\phantom{38)}\underline{\phantom{9}342\phantom{99}}\\\phantom{38)99}243\\\phantom{38)}\underline{\phantom{99}228\phantom{9}}\\\phantom{38)999}158\\\phantom{38)}\underline{\phantom{999}152\phantom{}}\\\phantom{38)99999}6\\\end{array}$$

Since $6$ is less than $38$, stop the division. The reminder is $6$. The topmost line $021964$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $21964$.

$$\text{Quotient: }21964$$ $$\text{Reminder: }6$$

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