Solve 8030:27

$$8030 : 27$$

Evaluate

$$\frac{8030}{27}\approx 297.407407407$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8030

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)8030}\\\end{array}$$

Since 8 is less than 27, use the next digit 0 from dividend 8030 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)8030}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 8030

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)8030}\\\end{array}$$

Find closest multiple of 27 to 80. We see that 2 \times 27 = 54 is the nearest. Now subtract 54 from 80 to get reminder 26. Add 2 to quotient.

$$\begin{array}{l}\phantom{27)}02\phantom{4}\\27\overline{)8030}\\\phantom{27)}\underline{\phantom{}54\phantom{99}}\\\phantom{27)}26\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 8030

$$\begin{array}{l}\phantom{27)}02\phantom{5}\\27\overline{)8030}\\\phantom{27)}\underline{\phantom{}54\phantom{99}}\\\phantom{27)}263\\\end{array}$$

Find closest multiple of 27 to 263. We see that 9 \times 27 = 243 is the nearest. Now subtract 243 from 263 to get reminder 20. Add 9 to quotient.

$$\begin{array}{l}\phantom{27)}029\phantom{6}\\27\overline{)8030}\\\phantom{27)}\underline{\phantom{}54\phantom{99}}\\\phantom{27)}263\\\phantom{27)}\underline{\phantom{}243\phantom{9}}\\\phantom{27)9}20\\\end{array}$$

Use the 4^{th} digit 0 from dividend 8030

$$\begin{array}{l}\phantom{27)}029\phantom{7}\\27\overline{)8030}\\\phantom{27)}\underline{\phantom{}54\phantom{99}}\\\phantom{27)}263\\\phantom{27)}\underline{\phantom{}243\phantom{9}}\\\phantom{27)9}200\\\end{array}$$

Find closest multiple of 27 to 200. We see that 7 \times 27 = 189 is the nearest. Now subtract 189 from 200 to get reminder 11. Add 7 to quotient.

$$\begin{array}{l}\phantom{27)}0297\phantom{8}\\27\overline{)8030}\\\phantom{27)}\underline{\phantom{}54\phantom{99}}\\\phantom{27)}263\\\phantom{27)}\underline{\phantom{}243\phantom{9}}\\\phantom{27)9}200\\\phantom{27)}\underline{\phantom{9}189\phantom{}}\\\phantom{27)99}11\\\end{array}$$

Since 11 is less than 27, stop the division. The reminder is 11. The topmost line 0297 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 297.

$$\text{Quotient: }297 \text{Reminder: }11$$

Factor

$$\frac{2 \cdot 5 \cdot 11 \cdot 73}{3 ^ {3}} = 297\frac{11}{27} = 297.4074074074074$$