Evaluate
\frac{2851}{106}\approx 26.896226415
Factor
\frac{2851}{2 \cdot 53} = 26\frac{95}{106} = 26.89622641509434
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\begin{array}{l}\phantom{106)}\phantom{1}\\106\overline{)2851}\\\end{array}
Use the 1^{st} digit 2 from dividend 2851
\begin{array}{l}\phantom{106)}0\phantom{2}\\106\overline{)2851}\\\end{array}
Since 2 is less than 106, use the next digit 8 from dividend 2851 and add 0 to the quotient
\begin{array}{l}\phantom{106)}0\phantom{3}\\106\overline{)2851}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2851
\begin{array}{l}\phantom{106)}00\phantom{4}\\106\overline{)2851}\\\end{array}
Since 28 is less than 106, use the next digit 5 from dividend 2851 and add 0 to the quotient
\begin{array}{l}\phantom{106)}00\phantom{5}\\106\overline{)2851}\\\end{array}
Use the 3^{rd} digit 5 from dividend 2851
\begin{array}{l}\phantom{106)}002\phantom{6}\\106\overline{)2851}\\\phantom{106)}\underline{\phantom{}212\phantom{9}}\\\phantom{106)9}73\\\end{array}
Find closest multiple of 106 to 285. We see that 2 \times 106 = 212 is the nearest. Now subtract 212 from 285 to get reminder 73. Add 2 to quotient.
\begin{array}{l}\phantom{106)}002\phantom{7}\\106\overline{)2851}\\\phantom{106)}\underline{\phantom{}212\phantom{9}}\\\phantom{106)9}731\\\end{array}
Use the 4^{th} digit 1 from dividend 2851
\begin{array}{l}\phantom{106)}0026\phantom{8}\\106\overline{)2851}\\\phantom{106)}\underline{\phantom{}212\phantom{9}}\\\phantom{106)9}731\\\phantom{106)}\underline{\phantom{9}636\phantom{}}\\\phantom{106)99}95\\\end{array}
Find closest multiple of 106 to 731. We see that 6 \times 106 = 636 is the nearest. Now subtract 636 from 731 to get reminder 95. Add 6 to quotient.
\text{Quotient: }26 \text{Reminder: }95
Since 95 is less than 106, stop the division. The reminder is 95. The topmost line 0026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.
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}