Solve 920/205

$$\frac { 920 } { 205 }$$

Evaluate

$$\frac{184}{41}\approx 4.487804878$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 920

$$\begin{array}{l}\phantom{205)}\phantom{1}\\205\overline{)920}\\\end{array}$$

Since 9 is less than 205, use the next digit 2 from dividend 920 and add 0 to the quotient

$$\begin{array}{l}\phantom{205)}0\phantom{2}\\205\overline{)920}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 920

$$\begin{array}{l}\phantom{205)}0\phantom{3}\\205\overline{)920}\\\end{array}$$

Since 92 is less than 205, use the next digit 0 from dividend 920 and add 0 to the quotient

$$\begin{array}{l}\phantom{205)}00\phantom{4}\\205\overline{)920}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 920

$$\begin{array}{l}\phantom{205)}00\phantom{5}\\205\overline{)920}\\\end{array}$$

Find closest multiple of 205 to 920. We see that 4 \times 205 = 820 is the nearest. Now subtract 820 from 920 to get reminder 100. Add 4 to quotient.

$$\begin{array}{l}\phantom{205)}004\phantom{6}\\205\overline{)920}\\\phantom{205)}\underline{\phantom{}820\phantom{}}\\\phantom{205)}100\\\end{array}$$

Since 100 is less than 205, stop the division. The reminder is 100. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }100$$

Factor

$$\frac{2 ^ {3} \cdot 23}{41} = 4\frac{20}{41} = 4.487804878048781$$