Solve ( a) 12345678/10000 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$12345678 \div 10000$$

Evaluate

$\frac{6172839}{5000}=1234.5678$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $12345678$

$$\begin{array}{l}\phantom{10000)}\phantom{1}\\10000\overline{)12345678}\\\end{array}$$

Since $1$ is less than $10000$, use the next digit $2$ from dividend $12345678$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10000)}0\phantom{2}\\10000\overline{)12345678}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $12345678$

$$\begin{array}{l}\phantom{10000)}0\phantom{3}\\10000\overline{)12345678}\\\end{array}$$

Since $12$ is less than $10000$, use the next digit $3$ from dividend $12345678$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10000)}00\phantom{4}\\10000\overline{)12345678}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $12345678$

$$\begin{array}{l}\phantom{10000)}00\phantom{5}\\10000\overline{)12345678}\\\end{array}$$

Since $123$ is less than $10000$, use the next digit $4$ from dividend $12345678$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10000)}000\phantom{6}\\10000\overline{)12345678}\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $12345678$

$$\begin{array}{l}\phantom{10000)}000\phantom{7}\\10000\overline{)12345678}\\\end{array}$$

Since $1234$ is less than $10000$, use the next digit $5$ from dividend $12345678$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10000)}0000\phantom{8}\\10000\overline{)12345678}\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $12345678$

$$\begin{array}{l}\phantom{10000)}0000\phantom{9}\\10000\overline{)12345678}\\\end{array}$$

Find closest multiple of $10000$ to $12345$. We see that $1 \times 10000 = 10000$ is the nearest. Now subtract $10000$ from $12345$ to get reminder $2345$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{10000)}00001\phantom{10}\\10000\overline{)12345678}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}2345\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $12345678$

$$\begin{array}{l}\phantom{10000)}00001\phantom{11}\\10000\overline{)12345678}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}23456\\\end{array}$$

Find closest multiple of $10000$ to $23456$. We see that $2 \times 10000 = 20000$ is the nearest. Now subtract $20000$ from $23456$ to get reminder $3456$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{10000)}000012\phantom{12}\\10000\overline{)12345678}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}23456\\\phantom{10000)}\underline{\phantom{9}20000\phantom{99}}\\\phantom{10000)99}3456\\\end{array}$$

Use the $7^{th}$ digit $7$ from dividend $12345678$

$$\begin{array}{l}\phantom{10000)}000012\phantom{13}\\10000\overline{)12345678}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}23456\\\phantom{10000)}\underline{\phantom{9}20000\phantom{99}}\\\phantom{10000)99}34567\\\end{array}$$

Find closest multiple of $10000$ to $34567$. We see that $3 \times 10000 = 30000$ is the nearest. Now subtract $30000$ from $34567$ to get reminder $4567$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{10000)}0000123\phantom{14}\\10000\overline{)12345678}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}23456\\\phantom{10000)}\underline{\phantom{9}20000\phantom{99}}\\\phantom{10000)99}34567\\\phantom{10000)}\underline{\phantom{99}30000\phantom{9}}\\\phantom{10000)999}4567\\\end{array}$$

Use the $8^{th}$ digit $8$ from dividend $12345678$

$$\begin{array}{l}\phantom{10000)}0000123\phantom{15}\\10000\overline{)12345678}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}23456\\\phantom{10000)}\underline{\phantom{9}20000\phantom{99}}\\\phantom{10000)99}34567\\\phantom{10000)}\underline{\phantom{99}30000\phantom{9}}\\\phantom{10000)999}45678\\\end{array}$$

Find closest multiple of $10000$ to $45678$. We see that $4 \times 10000 = 40000$ is the nearest. Now subtract $40000$ from $45678$ to get reminder $5678$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{10000)}00001234\phantom{16}\\10000\overline{)12345678}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}23456\\\phantom{10000)}\underline{\phantom{9}20000\phantom{99}}\\\phantom{10000)99}34567\\\phantom{10000)}\underline{\phantom{99}30000\phantom{9}}\\\phantom{10000)999}45678\\\phantom{10000)}\underline{\phantom{999}40000\phantom{}}\\\phantom{10000)9999}5678\\\end{array}$$

Since $5678$ is less than $10000$, stop the division. The reminder is $5678$. The topmost line $00001234$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1234$.

$$\text{Quotient: }1234$$ $$\text{Reminder: }5678$$

Factor

$\frac{3 ^ {2} \cdot 47 \cdot 14593}{2 ^ {3} \cdot 5 ^ {4}} = 1234\frac{2839}{5000} = 1234.5678$