Solve 64/36

$$\frac { 64 } { 36 }$$

Evaluate

$$\frac{16}{9}\approx 1.777777778$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 64

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)64}\\\end{array}$$

Since 6 is less than 36, use the next digit 4 from dividend 64 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)64}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 64

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)64}\\\end{array}$$

Find closest multiple of 36 to 64. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 64 to get reminder 28. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)64}\\\phantom{36)}\underline{\phantom{}36\phantom{}}\\\phantom{36)}28\\\end{array}$$

Since 28 is less than 36, stop the division. The reminder is 28. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }28$$

Factor

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1.7777777777777777$$