Solve 2342/2134

$$\frac{ 2342 }{ 2134 }$$

Evaluate

$$\frac{1171}{1067}\approx 1.097469541$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2342

$$\begin{array}{l}\phantom{2134)}\phantom{1}\\2134\overline{)2342}\\\end{array}$$

Since 2 is less than 2134, use the next digit 3 from dividend 2342 and add 0 to the quotient

$$\begin{array}{l}\phantom{2134)}0\phantom{2}\\2134\overline{)2342}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 2342

$$\begin{array}{l}\phantom{2134)}0\phantom{3}\\2134\overline{)2342}\\\end{array}$$

Since 23 is less than 2134, use the next digit 4 from dividend 2342 and add 0 to the quotient

$$\begin{array}{l}\phantom{2134)}00\phantom{4}\\2134\overline{)2342}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2342

$$\begin{array}{l}\phantom{2134)}00\phantom{5}\\2134\overline{)2342}\\\end{array}$$

Since 234 is less than 2134, use the next digit 2 from dividend 2342 and add 0 to the quotient

$$\begin{array}{l}\phantom{2134)}000\phantom{6}\\2134\overline{)2342}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 2342

$$\begin{array}{l}\phantom{2134)}000\phantom{7}\\2134\overline{)2342}\\\end{array}$$

Find closest multiple of 2134 to 2342. We see that 1 \times 2134 = 2134 is the nearest. Now subtract 2134 from 2342 to get reminder 208. Add 1 to quotient.

$$\begin{array}{l}\phantom{2134)}0001\phantom{8}\\2134\overline{)2342}\\\phantom{2134)}\underline{\phantom{}2134\phantom{}}\\\phantom{2134)9}208\\\end{array}$$

Since 208 is less than 2134, stop the division. The reminder is 208. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }208$$

Factor

$$\frac{1171}{11 \cdot 97} = 1\frac{104}{1067} = 1.0974695407685098$$