Solve 600/26

$$\frac { 600 } { 26 }$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 600

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)600}\\\end{array}$$

Since 6 is less than 26, use the next digit 0 from dividend 600 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)600}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 600

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)600}\\\end{array}$$

Find closest multiple of 26 to 60. We see that 2 \times 26 = 52 is the nearest. Now subtract 52 from 60 to get reminder 8. Add 2 to quotient.

$$\begin{array}{l}\phantom{26)}02\phantom{4}\\26\overline{)600}\\\phantom{26)}\underline{\phantom{}52\phantom{9}}\\\phantom{26)9}8\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 600

$$\begin{array}{l}\phantom{26)}02\phantom{5}\\26\overline{)600}\\\phantom{26)}\underline{\phantom{}52\phantom{9}}\\\phantom{26)9}80\\\end{array}$$

Find closest multiple of 26 to 80. We see that 3 \times 26 = 78 is the nearest. Now subtract 78 from 80 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{26)}023\phantom{6}\\26\overline{)600}\\\phantom{26)}\underline{\phantom{}52\phantom{9}}\\\phantom{26)9}80\\\phantom{26)}\underline{\phantom{9}78\phantom{}}\\\phantom{26)99}2\\\end{array}$$

Since 2 is less than 26, stop the division. The reminder is 2. The topmost line 023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }2$$

Factor

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