Solve 2475/1975

$$\frac { 2475 } { 1975 }$$

Evaluate

$$\frac{99}{79}\approx 1.253164557$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2475

$$\begin{array}{l}\phantom{1975)}\phantom{1}\\1975\overline{)2475}\\\end{array}$$

Since 2 is less than 1975, use the next digit 4 from dividend 2475 and add 0 to the quotient

$$\begin{array}{l}\phantom{1975)}0\phantom{2}\\1975\overline{)2475}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 2475

$$\begin{array}{l}\phantom{1975)}0\phantom{3}\\1975\overline{)2475}\\\end{array}$$

Since 24 is less than 1975, use the next digit 7 from dividend 2475 and add 0 to the quotient

$$\begin{array}{l}\phantom{1975)}00\phantom{4}\\1975\overline{)2475}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 2475

$$\begin{array}{l}\phantom{1975)}00\phantom{5}\\1975\overline{)2475}\\\end{array}$$

Since 247 is less than 1975, use the next digit 5 from dividend 2475 and add 0 to the quotient

$$\begin{array}{l}\phantom{1975)}000\phantom{6}\\1975\overline{)2475}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2475

$$\begin{array}{l}\phantom{1975)}000\phantom{7}\\1975\overline{)2475}\\\end{array}$$

Find closest multiple of 1975 to 2475. We see that 1 \times 1975 = 1975 is the nearest. Now subtract 1975 from 2475 to get reminder 500. Add 1 to quotient.

$$\begin{array}{l}\phantom{1975)}0001\phantom{8}\\1975\overline{)2475}\\\phantom{1975)}\underline{\phantom{}1975\phantom{}}\\\phantom{1975)9}500\\\end{array}$$

Since 500 is less than 1975, stop the division. The reminder is 500. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }500$$

Factor

$$\frac{3 ^ {2} \cdot 11}{79} = 1\frac{20}{79} = 1.2531645569620253$$