Solve 596div27

$$596 \div 27$$

Evaluate

$$\frac{596}{27}\approx 22.074074074$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 596

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)596}\\\end{array}$$

Since 5 is less than 27, use the next digit 9 from dividend 596 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)596}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 596

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)596}\\\end{array}$$

Find closest multiple of 27 to 59. We see that 2 \times 27 = 54 is the nearest. Now subtract 54 from 59 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{27)}02\phantom{4}\\27\overline{)596}\\\phantom{27)}\underline{\phantom{}54\phantom{9}}\\\phantom{27)9}5\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 596

$$\begin{array}{l}\phantom{27)}02\phantom{5}\\27\overline{)596}\\\phantom{27)}\underline{\phantom{}54\phantom{9}}\\\phantom{27)9}56\\\end{array}$$

Find closest multiple of 27 to 56. We see that 2 \times 27 = 54 is the nearest. Now subtract 54 from 56 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{27)}022\phantom{6}\\27\overline{)596}\\\phantom{27)}\underline{\phantom{}54\phantom{9}}\\\phantom{27)9}56\\\phantom{27)}\underline{\phantom{9}54\phantom{}}\\\phantom{27)99}2\\\end{array}$$

Since 2 is less than 27, stop the division. The reminder is 2. The topmost line 022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.

$$\text{Quotient: }22 \text{Reminder: }2$$

Factor

$$\frac{2 ^ {2} \cdot 149}{3 ^ {3}} = 22\frac{2}{27} = 22.074074074074073$$