Evaluate
625
Factor
5^{4}
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\begin{array}{l}\phantom{15625)}\phantom{1}\\15625\overline{)9765625}\\\end{array}
Use the 1^{st} digit 9 from dividend 9765625
\begin{array}{l}\phantom{15625)}0\phantom{2}\\15625\overline{)9765625}\\\end{array}
Since 9 is less than 15625, use the next digit 7 from dividend 9765625 and add 0 to the quotient
\begin{array}{l}\phantom{15625)}0\phantom{3}\\15625\overline{)9765625}\\\end{array}
Use the 2^{nd} digit 7 from dividend 9765625
\begin{array}{l}\phantom{15625)}00\phantom{4}\\15625\overline{)9765625}\\\end{array}
Since 97 is less than 15625, use the next digit 6 from dividend 9765625 and add 0 to the quotient
\begin{array}{l}\phantom{15625)}00\phantom{5}\\15625\overline{)9765625}\\\end{array}
Use the 3^{rd} digit 6 from dividend 9765625
\begin{array}{l}\phantom{15625)}000\phantom{6}\\15625\overline{)9765625}\\\end{array}
Since 976 is less than 15625, use the next digit 5 from dividend 9765625 and add 0 to the quotient
\begin{array}{l}\phantom{15625)}000\phantom{7}\\15625\overline{)9765625}\\\end{array}
Use the 4^{th} digit 5 from dividend 9765625
\begin{array}{l}\phantom{15625)}0000\phantom{8}\\15625\overline{)9765625}\\\end{array}
Since 9765 is less than 15625, use the next digit 6 from dividend 9765625 and add 0 to the quotient
\begin{array}{l}\phantom{15625)}0000\phantom{9}\\15625\overline{)9765625}\\\end{array}
Use the 5^{th} digit 6 from dividend 9765625
\begin{array}{l}\phantom{15625)}00006\phantom{10}\\15625\overline{)9765625}\\\phantom{15625)}\underline{\phantom{}93750\phantom{99}}\\\phantom{15625)9}3906\\\end{array}
Find closest multiple of 15625 to 97656. We see that 6 \times 15625 = 93750 is the nearest. Now subtract 93750 from 97656 to get reminder 3906. Add 6 to quotient.
\begin{array}{l}\phantom{15625)}00006\phantom{11}\\15625\overline{)9765625}\\\phantom{15625)}\underline{\phantom{}93750\phantom{99}}\\\phantom{15625)9}39062\\\end{array}
Use the 6^{th} digit 2 from dividend 9765625
\begin{array}{l}\phantom{15625)}000062\phantom{12}\\15625\overline{)9765625}\\\phantom{15625)}\underline{\phantom{}93750\phantom{99}}\\\phantom{15625)9}39062\\\phantom{15625)}\underline{\phantom{9}31250\phantom{9}}\\\phantom{15625)99}7812\\\end{array}
Find closest multiple of 15625 to 39062. We see that 2 \times 15625 = 31250 is the nearest. Now subtract 31250 from 39062 to get reminder 7812. Add 2 to quotient.
\begin{array}{l}\phantom{15625)}000062\phantom{13}\\15625\overline{)9765625}\\\phantom{15625)}\underline{\phantom{}93750\phantom{99}}\\\phantom{15625)9}39062\\\phantom{15625)}\underline{\phantom{9}31250\phantom{9}}\\\phantom{15625)99}78125\\\end{array}
Use the 7^{th} digit 5 from dividend 9765625
\begin{array}{l}\phantom{15625)}0000625\phantom{14}\\15625\overline{)9765625}\\\phantom{15625)}\underline{\phantom{}93750\phantom{99}}\\\phantom{15625)9}39062\\\phantom{15625)}\underline{\phantom{9}31250\phantom{9}}\\\phantom{15625)99}78125\\\phantom{15625)}\underline{\phantom{99}78125\phantom{}}\\\phantom{15625)9999999}0\\\end{array}
Find closest multiple of 15625 to 78125. We see that 5 \times 15625 = 78125 is the nearest. Now subtract 78125 from 78125 to get reminder 0. Add 5 to quotient.
\text{Quotient: }625 \text{Reminder: }0
Since 0 is less than 15625, stop the division. The reminder is 0. The topmost line 0000625 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 625.
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}