Solve 3141/1703

$$\frac { 3141 } { 1703 }$$

Evaluate

$$\frac{3141}{1703}\approx 1.844392249$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3141

$$\begin{array}{l}\phantom{1703)}\phantom{1}\\1703\overline{)3141}\\\end{array}$$

Since 3 is less than 1703, use the next digit 1 from dividend 3141 and add 0 to the quotient

$$\begin{array}{l}\phantom{1703)}0\phantom{2}\\1703\overline{)3141}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 3141

$$\begin{array}{l}\phantom{1703)}0\phantom{3}\\1703\overline{)3141}\\\end{array}$$

Since 31 is less than 1703, use the next digit 4 from dividend 3141 and add 0 to the quotient

$$\begin{array}{l}\phantom{1703)}00\phantom{4}\\1703\overline{)3141}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 3141

$$\begin{array}{l}\phantom{1703)}00\phantom{5}\\1703\overline{)3141}\\\end{array}$$

Since 314 is less than 1703, use the next digit 1 from dividend 3141 and add 0 to the quotient

$$\begin{array}{l}\phantom{1703)}000\phantom{6}\\1703\overline{)3141}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 3141

$$\begin{array}{l}\phantom{1703)}000\phantom{7}\\1703\overline{)3141}\\\end{array}$$

Find closest multiple of 1703 to 3141. We see that 1 \times 1703 = 1703 is the nearest. Now subtract 1703 from 3141 to get reminder 1438. Add 1 to quotient.

$$\begin{array}{l}\phantom{1703)}0001\phantom{8}\\1703\overline{)3141}\\\phantom{1703)}\underline{\phantom{}1703\phantom{}}\\\phantom{1703)}1438\\\end{array}$$

Since 1438 is less than 1703, stop the division. The reminder is 1438. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1438$$

Factor

$$\frac{3 ^ {2} \cdot 349}{13 \cdot 131} = 1\frac{1438}{1703} = 1.8443922489724016$$