Evaluate
\frac{243}{2}=121.5
Factor
\frac{3 ^ {5}}{2} = 121\frac{1}{2} = 121.5
Share
Copied to clipboard
\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)8505}\\\end{array}
Use the 1^{st} digit 8 from dividend 8505
\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)8505}\\\end{array}
Since 8 is less than 70, use the next digit 5 from dividend 8505 and add 0 to the quotient
\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)8505}\\\end{array}
Use the 2^{nd} digit 5 from dividend 8505
\begin{array}{l}\phantom{70)}01\phantom{4}\\70\overline{)8505}\\\phantom{70)}\underline{\phantom{}70\phantom{99}}\\\phantom{70)}15\\\end{array}
Find closest multiple of 70 to 85. We see that 1 \times 70 = 70 is the nearest. Now subtract 70 from 85 to get reminder 15. Add 1 to quotient.
\begin{array}{l}\phantom{70)}01\phantom{5}\\70\overline{)8505}\\\phantom{70)}\underline{\phantom{}70\phantom{99}}\\\phantom{70)}150\\\end{array}
Use the 3^{rd} digit 0 from dividend 8505
\begin{array}{l}\phantom{70)}012\phantom{6}\\70\overline{)8505}\\\phantom{70)}\underline{\phantom{}70\phantom{99}}\\\phantom{70)}150\\\phantom{70)}\underline{\phantom{}140\phantom{9}}\\\phantom{70)9}10\\\end{array}
Find closest multiple of 70 to 150. We see that 2 \times 70 = 140 is the nearest. Now subtract 140 from 150 to get reminder 10. Add 2 to quotient.
\begin{array}{l}\phantom{70)}012\phantom{7}\\70\overline{)8505}\\\phantom{70)}\underline{\phantom{}70\phantom{99}}\\\phantom{70)}150\\\phantom{70)}\underline{\phantom{}140\phantom{9}}\\\phantom{70)9}105\\\end{array}
Use the 4^{th} digit 5 from dividend 8505
\begin{array}{l}\phantom{70)}0121\phantom{8}\\70\overline{)8505}\\\phantom{70)}\underline{\phantom{}70\phantom{99}}\\\phantom{70)}150\\\phantom{70)}\underline{\phantom{}140\phantom{9}}\\\phantom{70)9}105\\\phantom{70)}\underline{\phantom{99}70\phantom{}}\\\phantom{70)99}35\\\end{array}
Find closest multiple of 70 to 105. We see that 1 \times 70 = 70 is the nearest. Now subtract 70 from 105 to get reminder 35. Add 1 to quotient.
\text{Quotient: }121 \text{Reminder: }35
Since 35 is less than 70, stop the division. The reminder is 35. The topmost line 0121 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 121.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}