How to solve . 28125/15

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 . 28125/15 | Equatix

Use the $1^{st}$ digit $2$ from dividend $28125$

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)28125}\\\end{array}$$

Since $2$ is less than $15$, use the next digit $8$ from dividend $28125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)28125}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $28125$

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)28125}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{15)}01\phantom{4}\\15\overline{)28125}\\\phantom{15)}\underline{\phantom{}15\phantom{999}}\\\phantom{15)}13\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $28125$

$$\begin{array}{l}\phantom{15)}01\phantom{5}\\15\overline{)28125}\\\phantom{15)}\underline{\phantom{}15\phantom{999}}\\\phantom{15)}131\\\end{array}$$

Find closest multiple of $15$ to $131$. We see that $8 \times 15 = 120$ is the nearest. Now subtract $120$ from $131$ to get reminder $11$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{15)}018\phantom{6}\\15\overline{)28125}\\\phantom{15)}\underline{\phantom{}15\phantom{999}}\\\phantom{15)}131\\\phantom{15)}\underline{\phantom{}120\phantom{99}}\\\phantom{15)9}11\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $28125$

$$\begin{array}{l}\phantom{15)}018\phantom{7}\\15\overline{)28125}\\\phantom{15)}\underline{\phantom{}15\phantom{999}}\\\phantom{15)}131\\\phantom{15)}\underline{\phantom{}120\phantom{99}}\\\phantom{15)9}112\\\end{array}$$

Find closest multiple of $15$ to $112$. We see that $7 \times 15 = 105$ is the nearest. Now subtract $105$ from $112$ to get reminder $7$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{15)}0187\phantom{8}\\15\overline{)28125}\\\phantom{15)}\underline{\phantom{}15\phantom{999}}\\\phantom{15)}131\\\phantom{15)}\underline{\phantom{}120\phantom{99}}\\\phantom{15)9}112\\\phantom{15)}\underline{\phantom{9}105\phantom{9}}\\\phantom{15)999}7\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $28125$

$$\begin{array}{l}\phantom{15)}0187\phantom{9}\\15\overline{)28125}\\\phantom{15)}\underline{\phantom{}15\phantom{999}}\\\phantom{15)}131\\\phantom{15)}\underline{\phantom{}120\phantom{99}}\\\phantom{15)9}112\\\phantom{15)}\underline{\phantom{9}105\phantom{9}}\\\phantom{15)999}75\\\end{array}$$

Find closest multiple of $15$ to $75$. We see that $5 \times 15 = 75$ is the nearest. Now subtract $75$ from $75$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{15)}01875\phantom{10}\\15\overline{)28125}\\\phantom{15)}\underline{\phantom{}15\phantom{999}}\\\phantom{15)}131\\\phantom{15)}\underline{\phantom{}120\phantom{99}}\\\phantom{15)9}112\\\phantom{15)}\underline{\phantom{9}105\phantom{9}}\\\phantom{15)999}75\\\phantom{15)}\underline{\phantom{999}75\phantom{}}\\\phantom{15)99999}0\\\end{array}$$

Since $0$ is less than $15$, stop the division. The reminder is $0$. The topmost line $01875$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1875$.

$$\text{Quotient: }1875$$ $$\text{Reminder: }0$$

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