How to solve (84285)/(15)

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 (84285)/(15) | Equatix

Use the $1^{st}$ digit $8$ from dividend $84285$

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)84285}\\\end{array}$$

Since $8$ is less than $15$, use the next digit $4$ from dividend $84285$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)84285}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $84285$

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)84285}\\\end{array}$$

Find closest multiple of $15$ to $84$. We see that $5 \times 15 = 75$ is the nearest. Now subtract $75$ from $84$ to get reminder $9$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{15)}05\phantom{4}\\15\overline{)84285}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}9\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $84285$

$$\begin{array}{l}\phantom{15)}05\phantom{5}\\15\overline{)84285}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}92\\\end{array}$$

Find closest multiple of $15$ to $92$. We see that $6 \times 15 = 90$ is the nearest. Now subtract $90$ from $92$ to get reminder $2$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{15)}056\phantom{6}\\15\overline{)84285}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}92\\\phantom{15)}\underline{\phantom{9}90\phantom{99}}\\\phantom{15)99}2\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $84285$

$$\begin{array}{l}\phantom{15)}056\phantom{7}\\15\overline{)84285}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}92\\\phantom{15)}\underline{\phantom{9}90\phantom{99}}\\\phantom{15)99}28\\\end{array}$$

Find closest multiple of $15$ to $28$. We see that $1 \times 15 = 15$ is the nearest. Now subtract $15$ from $28$ to get reminder $13$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{15)}0561\phantom{8}\\15\overline{)84285}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}92\\\phantom{15)}\underline{\phantom{9}90\phantom{99}}\\\phantom{15)99}28\\\phantom{15)}\underline{\phantom{99}15\phantom{9}}\\\phantom{15)99}13\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $84285$

$$\begin{array}{l}\phantom{15)}0561\phantom{9}\\15\overline{)84285}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}92\\\phantom{15)}\underline{\phantom{9}90\phantom{99}}\\\phantom{15)99}28\\\phantom{15)}\underline{\phantom{99}15\phantom{9}}\\\phantom{15)99}135\\\end{array}$$

Find closest multiple of $15$ to $135$. We see that $9 \times 15 = 135$ is the nearest. Now subtract $135$ from $135$ to get reminder $0$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{15)}05619\phantom{10}\\15\overline{)84285}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}92\\\phantom{15)}\underline{\phantom{9}90\phantom{99}}\\\phantom{15)99}28\\\phantom{15)}\underline{\phantom{99}15\phantom{9}}\\\phantom{15)99}135\\\phantom{15)}\underline{\phantom{99}135\phantom{}}\\\phantom{15)99999}0\\\end{array}$$

Since $0$ is less than $15$, stop the division. The reminder is $0$. The topmost line $05619$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5619$.

$$\text{Quotient: }5619$$ $$\text{Reminder: }0$$

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