Evaluate
422
Factor
2\times 211
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\begin{array}{l}\phantom{888)}\phantom{1}\\888\overline{)374736}\\\end{array}
Use the 1^{st} digit 3 from dividend 374736
\begin{array}{l}\phantom{888)}0\phantom{2}\\888\overline{)374736}\\\end{array}
Since 3 is less than 888, use the next digit 7 from dividend 374736 and add 0 to the quotient
\begin{array}{l}\phantom{888)}0\phantom{3}\\888\overline{)374736}\\\end{array}
Use the 2^{nd} digit 7 from dividend 374736
\begin{array}{l}\phantom{888)}00\phantom{4}\\888\overline{)374736}\\\end{array}
Since 37 is less than 888, use the next digit 4 from dividend 374736 and add 0 to the quotient
\begin{array}{l}\phantom{888)}00\phantom{5}\\888\overline{)374736}\\\end{array}
Use the 3^{rd} digit 4 from dividend 374736
\begin{array}{l}\phantom{888)}000\phantom{6}\\888\overline{)374736}\\\end{array}
Since 374 is less than 888, use the next digit 7 from dividend 374736 and add 0 to the quotient
\begin{array}{l}\phantom{888)}000\phantom{7}\\888\overline{)374736}\\\end{array}
Use the 4^{th} digit 7 from dividend 374736
\begin{array}{l}\phantom{888)}0004\phantom{8}\\888\overline{)374736}\\\phantom{888)}\underline{\phantom{}3552\phantom{99}}\\\phantom{888)9}195\\\end{array}
Find closest multiple of 888 to 3747. We see that 4 \times 888 = 3552 is the nearest. Now subtract 3552 from 3747 to get reminder 195. Add 4 to quotient.
\begin{array}{l}\phantom{888)}0004\phantom{9}\\888\overline{)374736}\\\phantom{888)}\underline{\phantom{}3552\phantom{99}}\\\phantom{888)9}1953\\\end{array}
Use the 5^{th} digit 3 from dividend 374736
\begin{array}{l}\phantom{888)}00042\phantom{10}\\888\overline{)374736}\\\phantom{888)}\underline{\phantom{}3552\phantom{99}}\\\phantom{888)9}1953\\\phantom{888)}\underline{\phantom{9}1776\phantom{9}}\\\phantom{888)99}177\\\end{array}
Find closest multiple of 888 to 1953. We see that 2 \times 888 = 1776 is the nearest. Now subtract 1776 from 1953 to get reminder 177. Add 2 to quotient.
\begin{array}{l}\phantom{888)}00042\phantom{11}\\888\overline{)374736}\\\phantom{888)}\underline{\phantom{}3552\phantom{99}}\\\phantom{888)9}1953\\\phantom{888)}\underline{\phantom{9}1776\phantom{9}}\\\phantom{888)99}1776\\\end{array}
Use the 6^{th} digit 6 from dividend 374736
\begin{array}{l}\phantom{888)}000422\phantom{12}\\888\overline{)374736}\\\phantom{888)}\underline{\phantom{}3552\phantom{99}}\\\phantom{888)9}1953\\\phantom{888)}\underline{\phantom{9}1776\phantom{9}}\\\phantom{888)99}1776\\\phantom{888)}\underline{\phantom{99}1776\phantom{}}\\\phantom{888)999999}0\\\end{array}
Find closest multiple of 888 to 1776. We see that 2 \times 888 = 1776 is the nearest. Now subtract 1776 from 1776 to get reminder 0. Add 2 to quotient.
\text{Quotient: }422 \text{Reminder: }0
Since 0 is less than 888, stop the division. The reminder is 0. The topmost line 000422 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 422.
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}