How to solve 36032/64

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 36032/64 | Equatix

Use the $1^{st}$ digit $3$ from dividend $36032$

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)36032}\\\end{array}$$

Since $3$ is less than $64$, use the next digit $6$ from dividend $36032$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)36032}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $36032$

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)36032}\\\end{array}$$

Since $36$ is less than $64$, use the next digit $0$ from dividend $36032$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)36032}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $36032$

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)36032}\\\end{array}$$

Find closest multiple of $64$ to $360$. We see that $5 \times 64 = 320$ is the nearest. Now subtract $320$ from $360$ to get reminder $40$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{64)}005\phantom{6}\\64\overline{)36032}\\\phantom{64)}\underline{\phantom{}320\phantom{99}}\\\phantom{64)9}40\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $36032$

$$\begin{array}{l}\phantom{64)}005\phantom{7}\\64\overline{)36032}\\\phantom{64)}\underline{\phantom{}320\phantom{99}}\\\phantom{64)9}403\\\end{array}$$

Find closest multiple of $64$ to $403$. We see that $6 \times 64 = 384$ is the nearest. Now subtract $384$ from $403$ to get reminder $19$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{64)}0056\phantom{8}\\64\overline{)36032}\\\phantom{64)}\underline{\phantom{}320\phantom{99}}\\\phantom{64)9}403\\\phantom{64)}\underline{\phantom{9}384\phantom{9}}\\\phantom{64)99}19\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $36032$

$$\begin{array}{l}\phantom{64)}0056\phantom{9}\\64\overline{)36032}\\\phantom{64)}\underline{\phantom{}320\phantom{99}}\\\phantom{64)9}403\\\phantom{64)}\underline{\phantom{9}384\phantom{9}}\\\phantom{64)99}192\\\end{array}$$

Find closest multiple of $64$ to $192$. We see that $3 \times 64 = 192$ is the nearest. Now subtract $192$ from $192$ to get reminder $0$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{64)}00563\phantom{10}\\64\overline{)36032}\\\phantom{64)}\underline{\phantom{}320\phantom{99}}\\\phantom{64)9}403\\\phantom{64)}\underline{\phantom{9}384\phantom{9}}\\\phantom{64)99}192\\\phantom{64)}\underline{\phantom{99}192\phantom{}}\\\phantom{64)99999}0\\\end{array}$$

Since $0$ is less than $64$, stop the division. The reminder is $0$. The topmost line $00563$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $563$.

$$\text{Quotient: }563$$ $$\text{Reminder: }0$$

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