Solve 3872/1960

$$\frac{ 3872 }{ 1960 }$$

Evaluate

$$\frac{484}{245}\approx 1.975510204$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3872

$$\begin{array}{l}\phantom{1960)}\phantom{1}\\1960\overline{)3872}\\\end{array}$$

Since 3 is less than 1960, use the next digit 8 from dividend 3872 and add 0 to the quotient

$$\begin{array}{l}\phantom{1960)}0\phantom{2}\\1960\overline{)3872}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 3872

$$\begin{array}{l}\phantom{1960)}0\phantom{3}\\1960\overline{)3872}\\\end{array}$$

Since 38 is less than 1960, use the next digit 7 from dividend 3872 and add 0 to the quotient

$$\begin{array}{l}\phantom{1960)}00\phantom{4}\\1960\overline{)3872}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 3872

$$\begin{array}{l}\phantom{1960)}00\phantom{5}\\1960\overline{)3872}\\\end{array}$$

Since 387 is less than 1960, use the next digit 2 from dividend 3872 and add 0 to the quotient

$$\begin{array}{l}\phantom{1960)}000\phantom{6}\\1960\overline{)3872}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 3872

$$\begin{array}{l}\phantom{1960)}000\phantom{7}\\1960\overline{)3872}\\\end{array}$$

Find closest multiple of 1960 to 3872. We see that 1 \times 1960 = 1960 is the nearest. Now subtract 1960 from 3872 to get reminder 1912. Add 1 to quotient.

$$\begin{array}{l}\phantom{1960)}0001\phantom{8}\\1960\overline{)3872}\\\phantom{1960)}\underline{\phantom{}1960\phantom{}}\\\phantom{1960)}1912\\\end{array}$$

Since 1912 is less than 1960, stop the division. The reminder is 1912. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1912$$

Factor

$$\frac{2 ^ {2} \cdot 11 ^ {2}}{5 \cdot 7 ^ {2}} = 1\frac{239}{245} = 1.9755102040816326$$