How to solve (672507)/(32)

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 (672507)/(32) | Equatix

Use the $1^{st}$ digit $6$ from dividend $672507$

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)672507}\\\end{array}$$

Since $6$ is less than $32$, use the next digit $7$ from dividend $672507$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)672507}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $672507$

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)672507}\\\end{array}$$

Find closest multiple of $32$ to $67$. We see that $2 \times 32 = 64$ is the nearest. Now subtract $64$ from $67$ to get reminder $3$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{32)}02\phantom{4}\\32\overline{)672507}\\\phantom{32)}\underline{\phantom{}64\phantom{9999}}\\\phantom{32)9}3\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $672507$

$$\begin{array}{l}\phantom{32)}02\phantom{5}\\32\overline{)672507}\\\phantom{32)}\underline{\phantom{}64\phantom{9999}}\\\phantom{32)9}32\\\end{array}$$

Find closest multiple of $32$ to $32$. We see that $1 \times 32 = 32$ is the nearest. Now subtract $32$ from $32$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{32)}021\phantom{6}\\32\overline{)672507}\\\phantom{32)}\underline{\phantom{}64\phantom{9999}}\\\phantom{32)9}32\\\phantom{32)}\underline{\phantom{9}32\phantom{999}}\\\phantom{32)999}0\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $672507$

$$\begin{array}{l}\phantom{32)}021\phantom{7}\\32\overline{)672507}\\\phantom{32)}\underline{\phantom{}64\phantom{9999}}\\\phantom{32)9}32\\\phantom{32)}\underline{\phantom{9}32\phantom{999}}\\\phantom{32)999}5\\\end{array}$$

Since $5$ is less than $32$, use the next digit $0$ from dividend $672507$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{32)}0210\phantom{8}\\32\overline{)672507}\\\phantom{32)}\underline{\phantom{}64\phantom{9999}}\\\phantom{32)9}32\\\phantom{32)}\underline{\phantom{9}32\phantom{999}}\\\phantom{32)999}5\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $672507$

$$\begin{array}{l}\phantom{32)}0210\phantom{9}\\32\overline{)672507}\\\phantom{32)}\underline{\phantom{}64\phantom{9999}}\\\phantom{32)9}32\\\phantom{32)}\underline{\phantom{9}32\phantom{999}}\\\phantom{32)999}50\\\end{array}$$

Find closest multiple of $32$ to $50$. We see that $1 \times 32 = 32$ is the nearest. Now subtract $32$ from $50$ to get reminder $18$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{32)}02101\phantom{10}\\32\overline{)672507}\\\phantom{32)}\underline{\phantom{}64\phantom{9999}}\\\phantom{32)9}32\\\phantom{32)}\underline{\phantom{9}32\phantom{999}}\\\phantom{32)999}50\\\phantom{32)}\underline{\phantom{999}32\phantom{9}}\\\phantom{32)999}18\\\end{array}$$

Use the $6^{th}$ digit $7$ from dividend $672507$

$$\begin{array}{l}\phantom{32)}02101\phantom{11}\\32\overline{)672507}\\\phantom{32)}\underline{\phantom{}64\phantom{9999}}\\\phantom{32)9}32\\\phantom{32)}\underline{\phantom{9}32\phantom{999}}\\\phantom{32)999}50\\\phantom{32)}\underline{\phantom{999}32\phantom{9}}\\\phantom{32)999}187\\\end{array}$$

Find closest multiple of $32$ to $187$. We see that $5 \times 32 = 160$ is the nearest. Now subtract $160$ from $187$ to get reminder $27$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{32)}021015\phantom{12}\\32\overline{)672507}\\\phantom{32)}\underline{\phantom{}64\phantom{9999}}\\\phantom{32)9}32\\\phantom{32)}\underline{\phantom{9}32\phantom{999}}\\\phantom{32)999}50\\\phantom{32)}\underline{\phantom{999}32\phantom{9}}\\\phantom{32)999}187\\\phantom{32)}\underline{\phantom{999}160\phantom{}}\\\phantom{32)9999}27\\\end{array}$$

Since $27$ is less than $32$, stop the division. The reminder is $27$. The topmost line $021015$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $21015$.

$$\text{Quotient: }21015$$ $$\text{Reminder: }27$$

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