Solve 988div27

$$988 \div 27$$

Evaluate

$$\frac{988}{27}\approx 36.592592593$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 988

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)988}\\\end{array}$$

Since 9 is less than 27, use the next digit 8 from dividend 988 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)988}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 988

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)988}\\\end{array}$$

Find closest multiple of 27 to 98. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 98 to get reminder 17. Add 3 to quotient.

$$\begin{array}{l}\phantom{27)}03\phantom{4}\\27\overline{)988}\\\phantom{27)}\underline{\phantom{}81\phantom{9}}\\\phantom{27)}17\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 988

$$\begin{array}{l}\phantom{27)}03\phantom{5}\\27\overline{)988}\\\phantom{27)}\underline{\phantom{}81\phantom{9}}\\\phantom{27)}178\\\end{array}$$

Find closest multiple of 27 to 178. We see that 6 \times 27 = 162 is the nearest. Now subtract 162 from 178 to get reminder 16. Add 6 to quotient.

$$\begin{array}{l}\phantom{27)}036\phantom{6}\\27\overline{)988}\\\phantom{27)}\underline{\phantom{}81\phantom{9}}\\\phantom{27)}178\\\phantom{27)}\underline{\phantom{}162\phantom{}}\\\phantom{27)9}16\\\end{array}$$

Since 16 is less than 27, stop the division. The reminder is 16. The topmost line 036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }16$$

Factor

$$\frac{2 ^ {2} \cdot 13 \cdot 19}{3 ^ {3}} = 36\frac{16}{27} = 36.592592592592595$$