Solve 3600/2415=

$$\frac { 3600 } { 2415 } =$$

Evaluate

$$\frac{240}{161}\approx 1.49068323$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{2415)}\phantom{1}\\2415\overline{)3600}\\\end{array}$$

Since 3 is less than 2415, use the next digit 6 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{2415)}0\phantom{2}\\2415\overline{)3600}\\\end{array}$$

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

$$\begin{array}{l}\phantom{2415)}0\phantom{3}\\2415\overline{)3600}\\\end{array}$$

Since 36 is less than 2415, use the next digit 0 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{2415)}00\phantom{4}\\2415\overline{)3600}\\\end{array}$$

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

$$\begin{array}{l}\phantom{2415)}00\phantom{5}\\2415\overline{)3600}\\\end{array}$$

Since 360 is less than 2415, use the next digit 0 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{2415)}000\phantom{6}\\2415\overline{)3600}\\\end{array}$$

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

$$\begin{array}{l}\phantom{2415)}000\phantom{7}\\2415\overline{)3600}\\\end{array}$$

Find closest multiple of 2415 to 3600. We see that 1 \times 2415 = 2415 is the nearest. Now subtract 2415 from 3600 to get reminder 1185. Add 1 to quotient.

$$\begin{array}{l}\phantom{2415)}0001\phantom{8}\\2415\overline{)3600}\\\phantom{2415)}\underline{\phantom{}2415\phantom{}}\\\phantom{2415)}1185\\\end{array}$$

Since 1185 is less than 2415, stop the division. The reminder is 1185. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1185$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 5}{7 \cdot 23} = 1\frac{79}{161} = 1.4906832298136645$$