Solve 2000/75

$$\frac{ 2000 }{ 75 }$$

Evaluate

$$\frac{80}{3}\approx 26.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2000

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)2000}\\\end{array}$$

Since 2 is less than 75, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)2000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)2000}\\\end{array}$$

Since 20 is less than 75, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)2000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)2000}\\\end{array}$$

Find closest multiple of 75 to 200. We see that 2 \times 75 = 150 is the nearest. Now subtract 150 from 200 to get reminder 50. Add 2 to quotient.

$$\begin{array}{l}\phantom{75)}002\phantom{6}\\75\overline{)2000}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)9}50\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{75)}002\phantom{7}\\75\overline{)2000}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)9}500\\\end{array}$$

Find closest multiple of 75 to 500. We see that 6 \times 75 = 450 is the nearest. Now subtract 450 from 500 to get reminder 50. Add 6 to quotient.

$$\begin{array}{l}\phantom{75)}0026\phantom{8}\\75\overline{)2000}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)9}500\\\phantom{75)}\underline{\phantom{9}450\phantom{}}\\\phantom{75)99}50\\\end{array}$$

Since 50 is less than 75, stop the division. The reminder is 50. The topmost line 0026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.

$$\text{Quotient: }26 \text{Reminder: }50$$

Factor

$$\frac{2 ^ {4} \cdot 5}{3} = 26\frac{2}{3} = 26.666666666666668$$