Evaluate
815
Factor
5\times 163
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)81500}\\\end{array}
Use the 1^{st} digit 8 from dividend 81500
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)81500}\\\end{array}
Since 8 is less than 100, use the next digit 1 from dividend 81500 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)81500}\\\end{array}
Use the 2^{nd} digit 1 from dividend 81500
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)81500}\\\end{array}
Since 81 is less than 100, use the next digit 5 from dividend 81500 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)81500}\\\end{array}
Use the 3^{rd} digit 5 from dividend 81500
\begin{array}{l}\phantom{100)}008\phantom{6}\\100\overline{)81500}\\\phantom{100)}\underline{\phantom{}800\phantom{99}}\\\phantom{100)9}15\\\end{array}
Find closest multiple of 100 to 815. We see that 8 \times 100 = 800 is the nearest. Now subtract 800 from 815 to get reminder 15. Add 8 to quotient.
\begin{array}{l}\phantom{100)}008\phantom{7}\\100\overline{)81500}\\\phantom{100)}\underline{\phantom{}800\phantom{99}}\\\phantom{100)9}150\\\end{array}
Use the 4^{th} digit 0 from dividend 81500
\begin{array}{l}\phantom{100)}0081\phantom{8}\\100\overline{)81500}\\\phantom{100)}\underline{\phantom{}800\phantom{99}}\\\phantom{100)9}150\\\phantom{100)}\underline{\phantom{9}100\phantom{9}}\\\phantom{100)99}50\\\end{array}
Find closest multiple of 100 to 150. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 150 to get reminder 50. Add 1 to quotient.
\begin{array}{l}\phantom{100)}0081\phantom{9}\\100\overline{)81500}\\\phantom{100)}\underline{\phantom{}800\phantom{99}}\\\phantom{100)9}150\\\phantom{100)}\underline{\phantom{9}100\phantom{9}}\\\phantom{100)99}500\\\end{array}
Use the 5^{th} digit 0 from dividend 81500
\begin{array}{l}\phantom{100)}00815\phantom{10}\\100\overline{)81500}\\\phantom{100)}\underline{\phantom{}800\phantom{99}}\\\phantom{100)9}150\\\phantom{100)}\underline{\phantom{9}100\phantom{9}}\\\phantom{100)99}500\\\phantom{100)}\underline{\phantom{99}500\phantom{}}\\\phantom{100)99999}0\\\end{array}
Find closest multiple of 100 to 500. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 500 to get reminder 0. Add 5 to quotient.
\text{Quotient: }815 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 00815 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 815.
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}