Solve 3600/54

$$\frac { 3600 } { 54 }$$

Evaluate

$$\frac{200}{3}\approx 66.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3600

$$\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)3600}\\\end{array}$$

Since 3 is less than 54, use the next digit 6 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)3600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3600

$$\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)3600}\\\end{array}$$

Since 36 is less than 54, use the next digit 0 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)3600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3600

$$\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)3600}\\\end{array}$$

Find closest multiple of 54 to 360. We see that 6 \times 54 = 324 is the nearest. Now subtract 324 from 360 to get reminder 36. Add 6 to quotient.

$$\begin{array}{l}\phantom{54)}006\phantom{6}\\54\overline{)3600}\\\phantom{54)}\underline{\phantom{}324\phantom{9}}\\\phantom{54)9}36\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3600

$$\begin{array}{l}\phantom{54)}006\phantom{7}\\54\overline{)3600}\\\phantom{54)}\underline{\phantom{}324\phantom{9}}\\\phantom{54)9}360\\\end{array}$$

Find closest multiple of 54 to 360. We see that 6 \times 54 = 324 is the nearest. Now subtract 324 from 360 to get reminder 36. Add 6 to quotient.

$$\begin{array}{l}\phantom{54)}0066\phantom{8}\\54\overline{)3600}\\\phantom{54)}\underline{\phantom{}324\phantom{9}}\\\phantom{54)9}360\\\phantom{54)}\underline{\phantom{9}324\phantom{}}\\\phantom{54)99}36\\\end{array}$$

Since 36 is less than 54, stop the division. The reminder is 36. The topmost line 0066 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 66.

$$\text{Quotient: }66 \text{Reminder: }36$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3} = 66\frac{2}{3} = 66.66666666666667$$