Evaluate
549
Factor
3^{2}\times 61
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)19215}\\\end{array}
Use the 1^{st} digit 1 from dividend 19215
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)19215}\\\end{array}
Since 1 is less than 35, use the next digit 9 from dividend 19215 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)19215}\\\end{array}
Use the 2^{nd} digit 9 from dividend 19215
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)19215}\\\end{array}
Since 19 is less than 35, use the next digit 2 from dividend 19215 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)19215}\\\end{array}
Use the 3^{rd} digit 2 from dividend 19215
\begin{array}{l}\phantom{35)}005\phantom{6}\\35\overline{)19215}\\\phantom{35)}\underline{\phantom{}175\phantom{99}}\\\phantom{35)9}17\\\end{array}
Find closest multiple of 35 to 192. We see that 5 \times 35 = 175 is the nearest. Now subtract 175 from 192 to get reminder 17. Add 5 to quotient.
\begin{array}{l}\phantom{35)}005\phantom{7}\\35\overline{)19215}\\\phantom{35)}\underline{\phantom{}175\phantom{99}}\\\phantom{35)9}171\\\end{array}
Use the 4^{th} digit 1 from dividend 19215
\begin{array}{l}\phantom{35)}0054\phantom{8}\\35\overline{)19215}\\\phantom{35)}\underline{\phantom{}175\phantom{99}}\\\phantom{35)9}171\\\phantom{35)}\underline{\phantom{9}140\phantom{9}}\\\phantom{35)99}31\\\end{array}
Find closest multiple of 35 to 171. We see that 4 \times 35 = 140 is the nearest. Now subtract 140 from 171 to get reminder 31. Add 4 to quotient.
\begin{array}{l}\phantom{35)}0054\phantom{9}\\35\overline{)19215}\\\phantom{35)}\underline{\phantom{}175\phantom{99}}\\\phantom{35)9}171\\\phantom{35)}\underline{\phantom{9}140\phantom{9}}\\\phantom{35)99}315\\\end{array}
Use the 5^{th} digit 5 from dividend 19215
\begin{array}{l}\phantom{35)}00549\phantom{10}\\35\overline{)19215}\\\phantom{35)}\underline{\phantom{}175\phantom{99}}\\\phantom{35)9}171\\\phantom{35)}\underline{\phantom{9}140\phantom{9}}\\\phantom{35)99}315\\\phantom{35)}\underline{\phantom{99}315\phantom{}}\\\phantom{35)99999}0\\\end{array}
Find closest multiple of 35 to 315. We see that 9 \times 35 = 315 is the nearest. Now subtract 315 from 315 to get reminder 0. Add 9 to quotient.
\text{Quotient: }549 \text{Reminder: }0
Since 0 is less than 35, stop the division. The reminder is 0. The topmost line 00549 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 549.
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}