Evaluate
85
Factor
5\times 17
Share
Copied to clipboard
\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)2125}\\\end{array}
Use the 1^{st} digit 2 from dividend 2125
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)2125}\\\end{array}
Since 2 is less than 25, use the next digit 1 from dividend 2125 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)2125}\\\end{array}
Use the 2^{nd} digit 1 from dividend 2125
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)2125}\\\end{array}
Since 21 is less than 25, use the next digit 2 from dividend 2125 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)2125}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2125
\begin{array}{l}\phantom{25)}008\phantom{6}\\25\overline{)2125}\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)9}12\\\end{array}
Find closest multiple of 25 to 212. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 212 to get reminder 12. Add 8 to quotient.
\begin{array}{l}\phantom{25)}008\phantom{7}\\25\overline{)2125}\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)9}125\\\end{array}
Use the 4^{th} digit 5 from dividend 2125
\begin{array}{l}\phantom{25)}0085\phantom{8}\\25\overline{)2125}\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)9}125\\\phantom{25)}\underline{\phantom{9}125\phantom{}}\\\phantom{25)9999}0\\\end{array}
Find closest multiple of 25 to 125. We see that 5 \times 25 = 125 is the nearest. Now subtract 125 from 125 to get reminder 0. Add 5 to quotient.
\text{Quotient: }85 \text{Reminder: }0
Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 0085 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}