Solve 3600/1225

$$\frac { 3600 } { 1225 }$$

Evaluate

$$\frac{144}{49}\approx 2.93877551$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{1225)}\phantom{1}\\1225\overline{)3600}\\\end{array}$$

Since 3 is less than 1225, use the next digit 6 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{1225)}0\phantom{2}\\1225\overline{)3600}\\\end{array}$$

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

$$\begin{array}{l}\phantom{1225)}0\phantom{3}\\1225\overline{)3600}\\\end{array}$$

Since 36 is less than 1225, use the next digit 0 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{1225)}00\phantom{4}\\1225\overline{)3600}\\\end{array}$$

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

$$\begin{array}{l}\phantom{1225)}00\phantom{5}\\1225\overline{)3600}\\\end{array}$$

Since 360 is less than 1225, use the next digit 0 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{1225)}000\phantom{6}\\1225\overline{)3600}\\\end{array}$$

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

$$\begin{array}{l}\phantom{1225)}000\phantom{7}\\1225\overline{)3600}\\\end{array}$$

Find closest multiple of 1225 to 3600. We see that 2 \times 1225 = 2450 is the nearest. Now subtract 2450 from 3600 to get reminder 1150. Add 2 to quotient.

$$\begin{array}{l}\phantom{1225)}0002\phantom{8}\\1225\overline{)3600}\\\phantom{1225)}\underline{\phantom{}2450\phantom{}}\\\phantom{1225)}1150\\\end{array}$$

Since 1150 is less than 1225, stop the division. The reminder is 1150. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }1150$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2}}{7 ^ {2}} = 2\frac{46}{49} = 2.938775510204082$$