How to solve (123456789)/(899)

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 (123456789)/(899) | Equatix

Use the $1^{st}$ digit $1$ from dividend $123456789$

$$\begin{array}{l}\phantom{899)}\phantom{1}\\899\overline{)123456789}\\\end{array}$$

Since $1$ is less than $899$, use the next digit $2$ from dividend $123456789$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{899)}0\phantom{2}\\899\overline{)123456789}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $123456789$

$$\begin{array}{l}\phantom{899)}0\phantom{3}\\899\overline{)123456789}\\\end{array}$$

Since $12$ is less than $899$, use the next digit $3$ from dividend $123456789$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{899)}00\phantom{4}\\899\overline{)123456789}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $123456789$

$$\begin{array}{l}\phantom{899)}00\phantom{5}\\899\overline{)123456789}\\\end{array}$$

Since $123$ is less than $899$, use the next digit $4$ from dividend $123456789$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{899)}000\phantom{6}\\899\overline{)123456789}\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $123456789$

$$\begin{array}{l}\phantom{899)}000\phantom{7}\\899\overline{)123456789}\\\end{array}$$

Find closest multiple of $899$ to $1234$. We see that $1 \times 899 = 899$ is the nearest. Now subtract $899$ from $1234$ to get reminder $335$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{899)}0001\phantom{8}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}335\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $123456789$

$$\begin{array}{l}\phantom{899)}0001\phantom{9}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}3355\\\end{array}$$

Find closest multiple of $899$ to $3355$. We see that $3 \times 899 = 2697$ is the nearest. Now subtract $2697$ from $3355$ to get reminder $658$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{899)}00013\phantom{10}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}3355\\\phantom{899)}\underline{\phantom{9}2697\phantom{9999}}\\\phantom{899)99}658\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $123456789$

$$\begin{array}{l}\phantom{899)}00013\phantom{11}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}3355\\\phantom{899)}\underline{\phantom{9}2697\phantom{9999}}\\\phantom{899)99}6586\\\end{array}$$

Find closest multiple of $899$ to $6586$. We see that $7 \times 899 = 6293$ is the nearest. Now subtract $6293$ from $6586$ to get reminder $293$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{899)}000137\phantom{12}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}3355\\\phantom{899)}\underline{\phantom{9}2697\phantom{9999}}\\\phantom{899)99}6586\\\phantom{899)}\underline{\phantom{99}6293\phantom{999}}\\\phantom{899)999}293\\\end{array}$$

Use the $7^{th}$ digit $7$ from dividend $123456789$

$$\begin{array}{l}\phantom{899)}000137\phantom{13}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}3355\\\phantom{899)}\underline{\phantom{9}2697\phantom{9999}}\\\phantom{899)99}6586\\\phantom{899)}\underline{\phantom{99}6293\phantom{999}}\\\phantom{899)999}2937\\\end{array}$$

Find closest multiple of $899$ to $2937$. We see that $3 \times 899 = 2697$ is the nearest. Now subtract $2697$ from $2937$ to get reminder $240$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{899)}0001373\phantom{14}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}3355\\\phantom{899)}\underline{\phantom{9}2697\phantom{9999}}\\\phantom{899)99}6586\\\phantom{899)}\underline{\phantom{99}6293\phantom{999}}\\\phantom{899)999}2937\\\phantom{899)}\underline{\phantom{999}2697\phantom{99}}\\\phantom{899)9999}240\\\end{array}$$

Use the $8^{th}$ digit $8$ from dividend $123456789$

$$\begin{array}{l}\phantom{899)}0001373\phantom{15}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}3355\\\phantom{899)}\underline{\phantom{9}2697\phantom{9999}}\\\phantom{899)99}6586\\\phantom{899)}\underline{\phantom{99}6293\phantom{999}}\\\phantom{899)999}2937\\\phantom{899)}\underline{\phantom{999}2697\phantom{99}}\\\phantom{899)9999}2408\\\end{array}$$

Find closest multiple of $899$ to $2408$. We see that $2 \times 899 = 1798$ is the nearest. Now subtract $1798$ from $2408$ to get reminder $610$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{899)}00013732\phantom{16}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}3355\\\phantom{899)}\underline{\phantom{9}2697\phantom{9999}}\\\phantom{899)99}6586\\\phantom{899)}\underline{\phantom{99}6293\phantom{999}}\\\phantom{899)999}2937\\\phantom{899)}\underline{\phantom{999}2697\phantom{99}}\\\phantom{899)9999}2408\\\phantom{899)}\underline{\phantom{9999}1798\phantom{9}}\\\phantom{899)99999}610\\\end{array}$$

Use the $9^{th}$ digit $9$ from dividend $123456789$

$$\begin{array}{l}\phantom{899)}00013732\phantom{17}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}3355\\\phantom{899)}\underline{\phantom{9}2697\phantom{9999}}\\\phantom{899)99}6586\\\phantom{899)}\underline{\phantom{99}6293\phantom{999}}\\\phantom{899)999}2937\\\phantom{899)}\underline{\phantom{999}2697\phantom{99}}\\\phantom{899)9999}2408\\\phantom{899)}\underline{\phantom{9999}1798\phantom{9}}\\\phantom{899)99999}6109\\\end{array}$$

Find closest multiple of $899$ to $6109$. We see that $6 \times 899 = 5394$ is the nearest. Now subtract $5394$ from $6109$ to get reminder $715$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{899)}000137326\phantom{18}\\899\overline{)123456789}\\\phantom{899)}\underline{\phantom{9}899\phantom{99999}}\\\phantom{899)9}3355\\\phantom{899)}\underline{\phantom{9}2697\phantom{9999}}\\\phantom{899)99}6586\\\phantom{899)}\underline{\phantom{99}6293\phantom{999}}\\\phantom{899)999}2937\\\phantom{899)}\underline{\phantom{999}2697\phantom{99}}\\\phantom{899)9999}2408\\\phantom{899)}\underline{\phantom{9999}1798\phantom{9}}\\\phantom{899)99999}6109\\\phantom{899)}\underline{\phantom{99999}5394\phantom{}}\\\phantom{899)999999}715\\\end{array}$$

Since $715$ is less than $899$, stop the division. The reminder is $715$. The topmost line $000137326$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $137326$.

$$\text{Quotient: }137326$$ $$\text{Reminder: }715$$

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