Solve 300/13

$$\frac{ 300 }{ 13 }$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 300

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)300}\\\end{array}$$

Since 3 is less than 13, use the next digit 0 from dividend 300 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)300}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 300

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)300}\\\end{array}$$

Find closest multiple of 13 to 30. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 30 to get reminder 4. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}02\phantom{4}\\13\overline{)300}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)9}4\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 300

$$\begin{array}{l}\phantom{13)}02\phantom{5}\\13\overline{)300}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)9}40\\\end{array}$$

Find closest multiple of 13 to 40. We see that 3 \times 13 = 39 is the nearest. Now subtract 39 from 40 to get reminder 1. Add 3 to quotient.

$$\begin{array}{l}\phantom{13)}023\phantom{6}\\13\overline{)300}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)9}40\\\phantom{13)}\underline{\phantom{9}39\phantom{}}\\\phantom{13)99}1\\\end{array}$$

Since 1 is less than 13, stop the division. The reminder is 1. The topmost line 023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }1$$

Factor

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