Solve 1340/1205

$$\frac{ 1340 }{ 1205 }$$

Evaluate

$$\frac{268}{241}\approx 1.112033195$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1340

$$\begin{array}{l}\phantom{1205)}\phantom{1}\\1205\overline{)1340}\\\end{array}$$

Since 1 is less than 1205, use the next digit 3 from dividend 1340 and add 0 to the quotient

$$\begin{array}{l}\phantom{1205)}0\phantom{2}\\1205\overline{)1340}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 1340

$$\begin{array}{l}\phantom{1205)}0\phantom{3}\\1205\overline{)1340}\\\end{array}$$

Since 13 is less than 1205, use the next digit 4 from dividend 1340 and add 0 to the quotient

$$\begin{array}{l}\phantom{1205)}00\phantom{4}\\1205\overline{)1340}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 1340

$$\begin{array}{l}\phantom{1205)}00\phantom{5}\\1205\overline{)1340}\\\end{array}$$

Since 134 is less than 1205, use the next digit 0 from dividend 1340 and add 0 to the quotient

$$\begin{array}{l}\phantom{1205)}000\phantom{6}\\1205\overline{)1340}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1340

$$\begin{array}{l}\phantom{1205)}000\phantom{7}\\1205\overline{)1340}\\\end{array}$$

Find closest multiple of 1205 to 1340. We see that 1 \times 1205 = 1205 is the nearest. Now subtract 1205 from 1340 to get reminder 135. Add 1 to quotient.

$$\begin{array}{l}\phantom{1205)}0001\phantom{8}\\1205\overline{)1340}\\\phantom{1205)}\underline{\phantom{}1205\phantom{}}\\\phantom{1205)9}135\\\end{array}$$

Since 135 is less than 1205, stop the division. The reminder is 135. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }135$$

Factor

$$\frac{2 ^ {2} \cdot 67}{241} = 1\frac{27}{241} = 1.112033195020747$$