How to solve 2128500/5500

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 2128500/5500 | Equatix

Use the $1^{st}$ digit $2$ from dividend $2128500$

$$\begin{array}{l}\phantom{5500)}\phantom{1}\\5500\overline{)2128500}\\\end{array}$$

Since $2$ is less than $5500$, use the next digit $1$ from dividend $2128500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{5500)}0\phantom{2}\\5500\overline{)2128500}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $2128500$

$$\begin{array}{l}\phantom{5500)}0\phantom{3}\\5500\overline{)2128500}\\\end{array}$$

Since $21$ is less than $5500$, use the next digit $2$ from dividend $2128500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{5500)}00\phantom{4}\\5500\overline{)2128500}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $2128500$

$$\begin{array}{l}\phantom{5500)}00\phantom{5}\\5500\overline{)2128500}\\\end{array}$$

Since $212$ is less than $5500$, use the next digit $8$ from dividend $2128500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{5500)}000\phantom{6}\\5500\overline{)2128500}\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $2128500$

$$\begin{array}{l}\phantom{5500)}000\phantom{7}\\5500\overline{)2128500}\\\end{array}$$

Since $2128$ is less than $5500$, use the next digit $5$ from dividend $2128500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{5500)}0000\phantom{8}\\5500\overline{)2128500}\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $2128500$

$$\begin{array}{l}\phantom{5500)}0000\phantom{9}\\5500\overline{)2128500}\\\end{array}$$

Find closest multiple of $5500$ to $21285$. We see that $3 \times 5500 = 16500$ is the nearest. Now subtract $16500$ from $21285$ to get reminder $4785$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{5500)}00003\phantom{10}\\5500\overline{)2128500}\\\phantom{5500)}\underline{\phantom{}16500\phantom{99}}\\\phantom{5500)9}4785\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $2128500$

$$\begin{array}{l}\phantom{5500)}00003\phantom{11}\\5500\overline{)2128500}\\\phantom{5500)}\underline{\phantom{}16500\phantom{99}}\\\phantom{5500)9}47850\\\end{array}$$

Find closest multiple of $5500$ to $47850$. We see that $8 \times 5500 = 44000$ is the nearest. Now subtract $44000$ from $47850$ to get reminder $3850$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{5500)}000038\phantom{12}\\5500\overline{)2128500}\\\phantom{5500)}\underline{\phantom{}16500\phantom{99}}\\\phantom{5500)9}47850\\\phantom{5500)}\underline{\phantom{9}44000\phantom{9}}\\\phantom{5500)99}3850\\\end{array}$$

Use the $7^{th}$ digit $0$ from dividend $2128500$

$$\begin{array}{l}\phantom{5500)}000038\phantom{13}\\5500\overline{)2128500}\\\phantom{5500)}\underline{\phantom{}16500\phantom{99}}\\\phantom{5500)9}47850\\\phantom{5500)}\underline{\phantom{9}44000\phantom{9}}\\\phantom{5500)99}38500\\\end{array}$$

Find closest multiple of $5500$ to $38500$. We see that $7 \times 5500 = 38500$ is the nearest. Now subtract $38500$ from $38500$ to get reminder $0$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{5500)}0000387\phantom{14}\\5500\overline{)2128500}\\\phantom{5500)}\underline{\phantom{}16500\phantom{99}}\\\phantom{5500)9}47850\\\phantom{5500)}\underline{\phantom{9}44000\phantom{9}}\\\phantom{5500)99}38500\\\phantom{5500)}\underline{\phantom{99}38500\phantom{}}\\\phantom{5500)9999999}0\\\end{array}$$

Since $0$ is less than $5500$, stop the division. The reminder is $0$. The topmost line $0000387$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $387$.

$$\text{Quotient: }387$$ $$\text{Reminder: }0$$

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