Evaluate
59
Factor
59
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\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)1298}\\\end{array}
Use the 1^{st} digit 1 from dividend 1298
\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)1298}\\\end{array}
Since 1 is less than 22, use the next digit 2 from dividend 1298 and add 0 to the quotient
\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)1298}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1298
\begin{array}{l}\phantom{22)}00\phantom{4}\\22\overline{)1298}\\\end{array}
Since 12 is less than 22, use the next digit 9 from dividend 1298 and add 0 to the quotient
\begin{array}{l}\phantom{22)}00\phantom{5}\\22\overline{)1298}\\\end{array}
Use the 3^{rd} digit 9 from dividend 1298
\begin{array}{l}\phantom{22)}005\phantom{6}\\22\overline{)1298}\\\phantom{22)}\underline{\phantom{}110\phantom{9}}\\\phantom{22)9}19\\\end{array}
Find closest multiple of 22 to 129. We see that 5 \times 22 = 110 is the nearest. Now subtract 110 from 129 to get reminder 19. Add 5 to quotient.
\begin{array}{l}\phantom{22)}005\phantom{7}\\22\overline{)1298}\\\phantom{22)}\underline{\phantom{}110\phantom{9}}\\\phantom{22)9}198\\\end{array}
Use the 4^{th} digit 8 from dividend 1298
\begin{array}{l}\phantom{22)}0059\phantom{8}\\22\overline{)1298}\\\phantom{22)}\underline{\phantom{}110\phantom{9}}\\\phantom{22)9}198\\\phantom{22)}\underline{\phantom{9}198\phantom{}}\\\phantom{22)9999}0\\\end{array}
Find closest multiple of 22 to 198. We see that 9 \times 22 = 198 is the nearest. Now subtract 198 from 198 to get reminder 0. Add 9 to quotient.
\text{Quotient: }59 \text{Reminder: }0
Since 0 is less than 22, stop the division. The reminder is 0. The topmost line 0059 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 59.
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}