Solve 3000div130

$$3000 \div 130$$

Evaluate

$$\frac{300}{13}\approx 23.076923077$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3000

$$\begin{array}{l}\phantom{130)}\phantom{1}\\130\overline{)3000}\\\end{array}$$

Since 3 is less than 130, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{130)}0\phantom{2}\\130\overline{)3000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{130)}0\phantom{3}\\130\overline{)3000}\\\end{array}$$

Since 30 is less than 130, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{130)}00\phantom{4}\\130\overline{)3000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{130)}00\phantom{5}\\130\overline{)3000}\\\end{array}$$

Find closest multiple of 130 to 300. We see that 2 \times 130 = 260 is the nearest. Now subtract 260 from 300 to get reminder 40. Add 2 to quotient.

$$\begin{array}{l}\phantom{130)}002\phantom{6}\\130\overline{)3000}\\\phantom{130)}\underline{\phantom{}260\phantom{9}}\\\phantom{130)9}40\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{130)}002\phantom{7}\\130\overline{)3000}\\\phantom{130)}\underline{\phantom{}260\phantom{9}}\\\phantom{130)9}400\\\end{array}$$

Find closest multiple of 130 to 400. We see that 3 \times 130 = 390 is the nearest. Now subtract 390 from 400 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{130)}0023\phantom{8}\\130\overline{)3000}\\\phantom{130)}\underline{\phantom{}260\phantom{9}}\\\phantom{130)9}400\\\phantom{130)}\underline{\phantom{9}390\phantom{}}\\\phantom{130)99}10\\\end{array}$$

Since 10 is less than 130, stop the division. The reminder is 10. The topmost line 0023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {2}}{13} = 23\frac{1}{13} = 23.076923076923077$$