Solve 9000/27

$$\frac{ 9000 }{ 27 }$$

Evaluate

$$\frac{1000}{3}\approx 333.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9000

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)9000}\\\end{array}$$

Since 9 is less than 27, use the next digit 0 from dividend 9000 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)9000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 9000

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)9000}\\\end{array}$$

Find closest multiple of 27 to 90. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 90 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{27)}03\phantom{4}\\27\overline{)9000}\\\phantom{27)}\underline{\phantom{}81\phantom{99}}\\\phantom{27)9}9\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 9000

$$\begin{array}{l}\phantom{27)}03\phantom{5}\\27\overline{)9000}\\\phantom{27)}\underline{\phantom{}81\phantom{99}}\\\phantom{27)9}90\\\end{array}$$

Find closest multiple of 27 to 90. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 90 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{27)}033\phantom{6}\\27\overline{)9000}\\\phantom{27)}\underline{\phantom{}81\phantom{99}}\\\phantom{27)9}90\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)99}9\\\end{array}$$

Use the 4^{th} digit 0 from dividend 9000

$$\begin{array}{l}\phantom{27)}033\phantom{7}\\27\overline{)9000}\\\phantom{27)}\underline{\phantom{}81\phantom{99}}\\\phantom{27)9}90\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)99}90\\\end{array}$$

Find closest multiple of 27 to 90. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 90 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{27)}0333\phantom{8}\\27\overline{)9000}\\\phantom{27)}\underline{\phantom{}81\phantom{99}}\\\phantom{27)9}90\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)99}90\\\phantom{27)}\underline{\phantom{99}81\phantom{}}\\\phantom{27)999}9\\\end{array}$$

Since 9 is less than 27, stop the division. The reminder is 9. The topmost line 0333 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 333.

$$\text{Quotient: }333 \text{Reminder: }9$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{3} = 333\frac{1}{3} = 333.3333333333333$$