Solve 12300:130

$$12300 : 130$$

Evaluate

$$\frac{1230}{13}\approx 94.615384615$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12300

$$\begin{array}{l}\phantom{130)}\phantom{1}\\130\overline{)12300}\\\end{array}$$

Since 1 is less than 130, use the next digit 2 from dividend 12300 and add 0 to the quotient

$$\begin{array}{l}\phantom{130)}0\phantom{2}\\130\overline{)12300}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12300

$$\begin{array}{l}\phantom{130)}0\phantom{3}\\130\overline{)12300}\\\end{array}$$

Since 12 is less than 130, use the next digit 3 from dividend 12300 and add 0 to the quotient

$$\begin{array}{l}\phantom{130)}00\phantom{4}\\130\overline{)12300}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 12300

$$\begin{array}{l}\phantom{130)}00\phantom{5}\\130\overline{)12300}\\\end{array}$$

Since 123 is less than 130, use the next digit 0 from dividend 12300 and add 0 to the quotient

$$\begin{array}{l}\phantom{130)}000\phantom{6}\\130\overline{)12300}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 12300

$$\begin{array}{l}\phantom{130)}000\phantom{7}\\130\overline{)12300}\\\end{array}$$

Find closest multiple of 130 to 1230. We see that 9 \times 130 = 1170 is the nearest. Now subtract 1170 from 1230 to get reminder 60. Add 9 to quotient.

$$\begin{array}{l}\phantom{130)}0009\phantom{8}\\130\overline{)12300}\\\phantom{130)}\underline{\phantom{}1170\phantom{9}}\\\phantom{130)99}60\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12300

$$\begin{array}{l}\phantom{130)}0009\phantom{9}\\130\overline{)12300}\\\phantom{130)}\underline{\phantom{}1170\phantom{9}}\\\phantom{130)99}600\\\end{array}$$

Find closest multiple of 130 to 600. We see that 4 \times 130 = 520 is the nearest. Now subtract 520 from 600 to get reminder 80. Add 4 to quotient.

$$\begin{array}{l}\phantom{130)}00094\phantom{10}\\130\overline{)12300}\\\phantom{130)}\underline{\phantom{}1170\phantom{9}}\\\phantom{130)99}600\\\phantom{130)}\underline{\phantom{99}520\phantom{}}\\\phantom{130)999}80\\\end{array}$$

Since 80 is less than 130, stop the division. The reminder is 80. The topmost line 00094 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 94.

$$\text{Quotient: }94 \text{Reminder: }80$$

Factor

$$\frac{2 \cdot 3 \cdot 5 \cdot 41}{13} = 94\frac{8}{13} = 94.61538461538461$$