How to solve 876497/43

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 876497/43 | Equatix

Use the $1^{st}$ digit $8$ from dividend $876497$

$$\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)876497}\\\end{array}$$

Since $8$ is less than $43$, use the next digit $7$ from dividend $876497$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)876497}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $876497$

$$\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)876497}\\\end{array}$$

Find closest multiple of $43$ to $87$. We see that $2 \times 43 = 86$ is the nearest. Now subtract $86$ from $87$ to get reminder $1$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{43)}02\phantom{4}\\43\overline{)876497}\\\phantom{43)}\underline{\phantom{}86\phantom{9999}}\\\phantom{43)9}1\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $876497$

$$\begin{array}{l}\phantom{43)}02\phantom{5}\\43\overline{)876497}\\\phantom{43)}\underline{\phantom{}86\phantom{9999}}\\\phantom{43)9}16\\\end{array}$$

Since $16$ is less than $43$, use the next digit $4$ from dividend $876497$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}020\phantom{6}\\43\overline{)876497}\\\phantom{43)}\underline{\phantom{}86\phantom{9999}}\\\phantom{43)9}16\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $876497$

$$\begin{array}{l}\phantom{43)}020\phantom{7}\\43\overline{)876497}\\\phantom{43)}\underline{\phantom{}86\phantom{9999}}\\\phantom{43)9}164\\\end{array}$$

Find closest multiple of $43$ to $164$. We see that $3 \times 43 = 129$ is the nearest. Now subtract $129$ from $164$ to get reminder $35$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{43)}0203\phantom{8}\\43\overline{)876497}\\\phantom{43)}\underline{\phantom{}86\phantom{9999}}\\\phantom{43)9}164\\\phantom{43)}\underline{\phantom{9}129\phantom{99}}\\\phantom{43)99}35\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $876497$

$$\begin{array}{l}\phantom{43)}0203\phantom{9}\\43\overline{)876497}\\\phantom{43)}\underline{\phantom{}86\phantom{9999}}\\\phantom{43)9}164\\\phantom{43)}\underline{\phantom{9}129\phantom{99}}\\\phantom{43)99}359\\\end{array}$$

Find closest multiple of $43$ to $359$. We see that $8 \times 43 = 344$ is the nearest. Now subtract $344$ from $359$ to get reminder $15$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{43)}02038\phantom{10}\\43\overline{)876497}\\\phantom{43)}\underline{\phantom{}86\phantom{9999}}\\\phantom{43)9}164\\\phantom{43)}\underline{\phantom{9}129\phantom{99}}\\\phantom{43)99}359\\\phantom{43)}\underline{\phantom{99}344\phantom{9}}\\\phantom{43)999}15\\\end{array}$$

Use the $6^{th}$ digit $7$ from dividend $876497$

$$\begin{array}{l}\phantom{43)}02038\phantom{11}\\43\overline{)876497}\\\phantom{43)}\underline{\phantom{}86\phantom{9999}}\\\phantom{43)9}164\\\phantom{43)}\underline{\phantom{9}129\phantom{99}}\\\phantom{43)99}359\\\phantom{43)}\underline{\phantom{99}344\phantom{9}}\\\phantom{43)999}157\\\end{array}$$

Find closest multiple of $43$ to $157$. We see that $3 \times 43 = 129$ is the nearest. Now subtract $129$ from $157$ to get reminder $28$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{43)}020383\phantom{12}\\43\overline{)876497}\\\phantom{43)}\underline{\phantom{}86\phantom{9999}}\\\phantom{43)9}164\\\phantom{43)}\underline{\phantom{9}129\phantom{99}}\\\phantom{43)99}359\\\phantom{43)}\underline{\phantom{99}344\phantom{9}}\\\phantom{43)999}157\\\phantom{43)}\underline{\phantom{999}129\phantom{}}\\\phantom{43)9999}28\\\end{array}$$

Since $28$ is less than $43$, stop the division. The reminder is $28$. The topmost line $020383$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $20383$.

$$\text{Quotient: }20383$$ $$\text{Reminder: }28$$

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