Solve 1810/825

$$\frac { 1810 } { 825 }$$

Evaluate

$$\frac{362}{165}\approx 2.193939394$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1810

$$\begin{array}{l}\phantom{825)}\phantom{1}\\825\overline{)1810}\\\end{array}$$

Since 1 is less than 825, use the next digit 8 from dividend 1810 and add 0 to the quotient

$$\begin{array}{l}\phantom{825)}0\phantom{2}\\825\overline{)1810}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1810

$$\begin{array}{l}\phantom{825)}0\phantom{3}\\825\overline{)1810}\\\end{array}$$

Since 18 is less than 825, use the next digit 1 from dividend 1810 and add 0 to the quotient

$$\begin{array}{l}\phantom{825)}00\phantom{4}\\825\overline{)1810}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1810

$$\begin{array}{l}\phantom{825)}00\phantom{5}\\825\overline{)1810}\\\end{array}$$

Since 181 is less than 825, use the next digit 0 from dividend 1810 and add 0 to the quotient

$$\begin{array}{l}\phantom{825)}000\phantom{6}\\825\overline{)1810}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1810

$$\begin{array}{l}\phantom{825)}000\phantom{7}\\825\overline{)1810}\\\end{array}$$

Find closest multiple of 825 to 1810. We see that 2 \times 825 = 1650 is the nearest. Now subtract 1650 from 1810 to get reminder 160. Add 2 to quotient.

$$\begin{array}{l}\phantom{825)}0002\phantom{8}\\825\overline{)1810}\\\phantom{825)}\underline{\phantom{}1650\phantom{}}\\\phantom{825)9}160\\\end{array}$$

Since 160 is less than 825, stop the division. The reminder is 160. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }160$$

Factor

$$\frac{2 \cdot 181}{3 \cdot 5 \cdot 11} = 2\frac{32}{165} = 2.193939393939394$$