Solve 99892div27

$$99892 \div 27$$

Evaluate

$$\frac{99892}{27}\approx 3699.703703704$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 99892

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)99892}\\\end{array}$$

Since 9 is less than 27, use the next digit 9 from dividend 99892 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)99892}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 99892

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)99892}\\\end{array}$$

Find closest multiple of 27 to 99. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 99 to get reminder 18. Add 3 to quotient.

$$\begin{array}{l}\phantom{27)}03\phantom{4}\\27\overline{)99892}\\\phantom{27)}\underline{\phantom{}81\phantom{999}}\\\phantom{27)}18\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 99892

$$\begin{array}{l}\phantom{27)}03\phantom{5}\\27\overline{)99892}\\\phantom{27)}\underline{\phantom{}81\phantom{999}}\\\phantom{27)}188\\\end{array}$$

Find closest multiple of 27 to 188. We see that 6 \times 27 = 162 is the nearest. Now subtract 162 from 188 to get reminder 26. Add 6 to quotient.

$$\begin{array}{l}\phantom{27)}036\phantom{6}\\27\overline{)99892}\\\phantom{27)}\underline{\phantom{}81\phantom{999}}\\\phantom{27)}188\\\phantom{27)}\underline{\phantom{}162\phantom{99}}\\\phantom{27)9}26\\\end{array}$$

Use the 4^{th} digit 9 from dividend 99892

$$\begin{array}{l}\phantom{27)}036\phantom{7}\\27\overline{)99892}\\\phantom{27)}\underline{\phantom{}81\phantom{999}}\\\phantom{27)}188\\\phantom{27)}\underline{\phantom{}162\phantom{99}}\\\phantom{27)9}269\\\end{array}$$

Find closest multiple of 27 to 269. We see that 9 \times 27 = 243 is the nearest. Now subtract 243 from 269 to get reminder 26. Add 9 to quotient.

$$\begin{array}{l}\phantom{27)}0369\phantom{8}\\27\overline{)99892}\\\phantom{27)}\underline{\phantom{}81\phantom{999}}\\\phantom{27)}188\\\phantom{27)}\underline{\phantom{}162\phantom{99}}\\\phantom{27)9}269\\\phantom{27)}\underline{\phantom{9}243\phantom{9}}\\\phantom{27)99}26\\\end{array}$$

Use the 5^{th} digit 2 from dividend 99892

$$\begin{array}{l}\phantom{27)}0369\phantom{9}\\27\overline{)99892}\\\phantom{27)}\underline{\phantom{}81\phantom{999}}\\\phantom{27)}188\\\phantom{27)}\underline{\phantom{}162\phantom{99}}\\\phantom{27)9}269\\\phantom{27)}\underline{\phantom{9}243\phantom{9}}\\\phantom{27)99}262\\\end{array}$$

Find closest multiple of 27 to 262. We see that 9 \times 27 = 243 is the nearest. Now subtract 243 from 262 to get reminder 19. Add 9 to quotient.

$$\begin{array}{l}\phantom{27)}03699\phantom{10}\\27\overline{)99892}\\\phantom{27)}\underline{\phantom{}81\phantom{999}}\\\phantom{27)}188\\\phantom{27)}\underline{\phantom{}162\phantom{99}}\\\phantom{27)9}269\\\phantom{27)}\underline{\phantom{9}243\phantom{9}}\\\phantom{27)99}262\\\phantom{27)}\underline{\phantom{99}243\phantom{}}\\\phantom{27)999}19\\\end{array}$$

Since 19 is less than 27, stop the division. The reminder is 19. The topmost line 03699 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3699.

$$\text{Quotient: }3699 \text{Reminder: }19$$

Factor

$$\frac{2 ^ {2} \cdot 13 \cdot 17 \cdot 113}{3 ^ {3}} = 3699\frac{19}{27} = 3699.703703703704$$