Solve 3205/1282

$$\frac{ 3205 }{ 1282 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3205

$$\begin{array}{l}\phantom{1282)}\phantom{1}\\1282\overline{)3205}\\\end{array}$$

Since 3 is less than 1282, use the next digit 2 from dividend 3205 and add 0 to the quotient

$$\begin{array}{l}\phantom{1282)}0\phantom{2}\\1282\overline{)3205}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 3205

$$\begin{array}{l}\phantom{1282)}0\phantom{3}\\1282\overline{)3205}\\\end{array}$$

Since 32 is less than 1282, use the next digit 0 from dividend 3205 and add 0 to the quotient

$$\begin{array}{l}\phantom{1282)}00\phantom{4}\\1282\overline{)3205}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3205

$$\begin{array}{l}\phantom{1282)}00\phantom{5}\\1282\overline{)3205}\\\end{array}$$

Since 320 is less than 1282, use the next digit 5 from dividend 3205 and add 0 to the quotient

$$\begin{array}{l}\phantom{1282)}000\phantom{6}\\1282\overline{)3205}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3205

$$\begin{array}{l}\phantom{1282)}000\phantom{7}\\1282\overline{)3205}\\\end{array}$$

Find closest multiple of 1282 to 3205. We see that 2 \times 1282 = 2564 is the nearest. Now subtract 2564 from 3205 to get reminder 641. Add 2 to quotient.

$$\begin{array}{l}\phantom{1282)}0002\phantom{8}\\1282\overline{)3205}\\\phantom{1282)}\underline{\phantom{}2564\phantom{}}\\\phantom{1282)9}641\\\end{array}$$

Since 641 is less than 1282, stop the division. The reminder is 641. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }641$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$