Evaluate
\frac{128}{3}\approx 42.666666667
Factor
\frac{2 ^ {7}}{3} = 42\frac{2}{3} = 42.666666666666664
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\begin{array}{l}\phantom{1875)}\phantom{1}\\1875\overline{)80000}\\\end{array}
Use the 1^{st} digit 8 from dividend 80000
\begin{array}{l}\phantom{1875)}0\phantom{2}\\1875\overline{)80000}\\\end{array}
Since 8 is less than 1875, use the next digit 0 from dividend 80000 and add 0 to the quotient
\begin{array}{l}\phantom{1875)}0\phantom{3}\\1875\overline{)80000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 80000
\begin{array}{l}\phantom{1875)}00\phantom{4}\\1875\overline{)80000}\\\end{array}
Since 80 is less than 1875, use the next digit 0 from dividend 80000 and add 0 to the quotient
\begin{array}{l}\phantom{1875)}00\phantom{5}\\1875\overline{)80000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 80000
\begin{array}{l}\phantom{1875)}000\phantom{6}\\1875\overline{)80000}\\\end{array}
Since 800 is less than 1875, use the next digit 0 from dividend 80000 and add 0 to the quotient
\begin{array}{l}\phantom{1875)}000\phantom{7}\\1875\overline{)80000}\\\end{array}
Use the 4^{th} digit 0 from dividend 80000
\begin{array}{l}\phantom{1875)}0004\phantom{8}\\1875\overline{)80000}\\\phantom{1875)}\underline{\phantom{}7500\phantom{9}}\\\phantom{1875)9}500\\\end{array}
Find closest multiple of 1875 to 8000. We see that 4 \times 1875 = 7500 is the nearest. Now subtract 7500 from 8000 to get reminder 500. Add 4 to quotient.
\begin{array}{l}\phantom{1875)}0004\phantom{9}\\1875\overline{)80000}\\\phantom{1875)}\underline{\phantom{}7500\phantom{9}}\\\phantom{1875)9}5000\\\end{array}
Use the 5^{th} digit 0 from dividend 80000
\begin{array}{l}\phantom{1875)}00042\phantom{10}\\1875\overline{)80000}\\\phantom{1875)}\underline{\phantom{}7500\phantom{9}}\\\phantom{1875)9}5000\\\phantom{1875)}\underline{\phantom{9}3750\phantom{}}\\\phantom{1875)9}1250\\\end{array}
Find closest multiple of 1875 to 5000. We see that 2 \times 1875 = 3750 is the nearest. Now subtract 3750 from 5000 to get reminder 1250. Add 2 to quotient.
\text{Quotient: }42 \text{Reminder: }1250
Since 1250 is less than 1875, stop the division. The reminder is 1250. The topmost line 00042 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 42.
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}