Evaluate
85
Factor
5\times 17
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\begin{array}{l}\phantom{176)}\phantom{1}\\176\overline{)14960}\\\end{array}
Use the 1^{st} digit 1 from dividend 14960
\begin{array}{l}\phantom{176)}0\phantom{2}\\176\overline{)14960}\\\end{array}
Since 1 is less than 176, use the next digit 4 from dividend 14960 and add 0 to the quotient
\begin{array}{l}\phantom{176)}0\phantom{3}\\176\overline{)14960}\\\end{array}
Use the 2^{nd} digit 4 from dividend 14960
\begin{array}{l}\phantom{176)}00\phantom{4}\\176\overline{)14960}\\\end{array}
Since 14 is less than 176, use the next digit 9 from dividend 14960 and add 0 to the quotient
\begin{array}{l}\phantom{176)}00\phantom{5}\\176\overline{)14960}\\\end{array}
Use the 3^{rd} digit 9 from dividend 14960
\begin{array}{l}\phantom{176)}000\phantom{6}\\176\overline{)14960}\\\end{array}
Since 149 is less than 176, use the next digit 6 from dividend 14960 and add 0 to the quotient
\begin{array}{l}\phantom{176)}000\phantom{7}\\176\overline{)14960}\\\end{array}
Use the 4^{th} digit 6 from dividend 14960
\begin{array}{l}\phantom{176)}0008\phantom{8}\\176\overline{)14960}\\\phantom{176)}\underline{\phantom{}1408\phantom{9}}\\\phantom{176)99}88\\\end{array}
Find closest multiple of 176 to 1496. We see that 8 \times 176 = 1408 is the nearest. Now subtract 1408 from 1496 to get reminder 88. Add 8 to quotient.
\begin{array}{l}\phantom{176)}0008\phantom{9}\\176\overline{)14960}\\\phantom{176)}\underline{\phantom{}1408\phantom{9}}\\\phantom{176)99}880\\\end{array}
Use the 5^{th} digit 0 from dividend 14960
\begin{array}{l}\phantom{176)}00085\phantom{10}\\176\overline{)14960}\\\phantom{176)}\underline{\phantom{}1408\phantom{9}}\\\phantom{176)99}880\\\phantom{176)}\underline{\phantom{99}880\phantom{}}\\\phantom{176)99999}0\\\end{array}
Find closest multiple of 176 to 880. We see that 5 \times 176 = 880 is the nearest. Now subtract 880 from 880 to get reminder 0. Add 5 to quotient.
\text{Quotient: }85 \text{Reminder: }0
Since 0 is less than 176, stop the division. The reminder is 0. The topmost line 00085 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 85.
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}