Evaluate
\frac{1189}{22}\approx 54.045454545
Factor
\frac{29 \cdot 41}{2 \cdot 11} = 54\frac{1}{22} = 54.04545454545455
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\begin{array}{l}\phantom{44)}\phantom{1}\\44\overline{)2378}\\\end{array}
Use the 1^{st} digit 2 from dividend 2378
\begin{array}{l}\phantom{44)}0\phantom{2}\\44\overline{)2378}\\\end{array}
Since 2 is less than 44, use the next digit 3 from dividend 2378 and add 0 to the quotient
\begin{array}{l}\phantom{44)}0\phantom{3}\\44\overline{)2378}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2378
\begin{array}{l}\phantom{44)}00\phantom{4}\\44\overline{)2378}\\\end{array}
Since 23 is less than 44, use the next digit 7 from dividend 2378 and add 0 to the quotient
\begin{array}{l}\phantom{44)}00\phantom{5}\\44\overline{)2378}\\\end{array}
Use the 3^{rd} digit 7 from dividend 2378
\begin{array}{l}\phantom{44)}005\phantom{6}\\44\overline{)2378}\\\phantom{44)}\underline{\phantom{}220\phantom{9}}\\\phantom{44)9}17\\\end{array}
Find closest multiple of 44 to 237. We see that 5 \times 44 = 220 is the nearest. Now subtract 220 from 237 to get reminder 17. Add 5 to quotient.
\begin{array}{l}\phantom{44)}005\phantom{7}\\44\overline{)2378}\\\phantom{44)}\underline{\phantom{}220\phantom{9}}\\\phantom{44)9}178\\\end{array}
Use the 4^{th} digit 8 from dividend 2378
\begin{array}{l}\phantom{44)}0054\phantom{8}\\44\overline{)2378}\\\phantom{44)}\underline{\phantom{}220\phantom{9}}\\\phantom{44)9}178\\\phantom{44)}\underline{\phantom{9}176\phantom{}}\\\phantom{44)999}2\\\end{array}
Find closest multiple of 44 to 178. We see that 4 \times 44 = 176 is the nearest. Now subtract 176 from 178 to get reminder 2. Add 4 to quotient.
\text{Quotient: }54 \text{Reminder: }2
Since 2 is less than 44, stop the division. The reminder is 2. The topmost line 0054 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 54.
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}