Evaluate
1043
Factor
7\times 149
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\begin{array}{l}\phantom{171)}\phantom{1}\\171\overline{)178353}\\\end{array}
Use the 1^{st} digit 1 from dividend 178353
\begin{array}{l}\phantom{171)}0\phantom{2}\\171\overline{)178353}\\\end{array}
Since 1 is less than 171, use the next digit 7 from dividend 178353 and add 0 to the quotient
\begin{array}{l}\phantom{171)}0\phantom{3}\\171\overline{)178353}\\\end{array}
Use the 2^{nd} digit 7 from dividend 178353
\begin{array}{l}\phantom{171)}00\phantom{4}\\171\overline{)178353}\\\end{array}
Since 17 is less than 171, use the next digit 8 from dividend 178353 and add 0 to the quotient
\begin{array}{l}\phantom{171)}00\phantom{5}\\171\overline{)178353}\\\end{array}
Use the 3^{rd} digit 8 from dividend 178353
\begin{array}{l}\phantom{171)}001\phantom{6}\\171\overline{)178353}\\\phantom{171)}\underline{\phantom{}171\phantom{999}}\\\phantom{171)99}7\\\end{array}
Find closest multiple of 171 to 178. We see that 1 \times 171 = 171 is the nearest. Now subtract 171 from 178 to get reminder 7. Add 1 to quotient.
\begin{array}{l}\phantom{171)}001\phantom{7}\\171\overline{)178353}\\\phantom{171)}\underline{\phantom{}171\phantom{999}}\\\phantom{171)99}73\\\end{array}
Use the 4^{th} digit 3 from dividend 178353
\begin{array}{l}\phantom{171)}0010\phantom{8}\\171\overline{)178353}\\\phantom{171)}\underline{\phantom{}171\phantom{999}}\\\phantom{171)99}73\\\end{array}
Since 73 is less than 171, use the next digit 5 from dividend 178353 and add 0 to the quotient
\begin{array}{l}\phantom{171)}0010\phantom{9}\\171\overline{)178353}\\\phantom{171)}\underline{\phantom{}171\phantom{999}}\\\phantom{171)99}735\\\end{array}
Use the 5^{th} digit 5 from dividend 178353
\begin{array}{l}\phantom{171)}00104\phantom{10}\\171\overline{)178353}\\\phantom{171)}\underline{\phantom{}171\phantom{999}}\\\phantom{171)99}735\\\phantom{171)}\underline{\phantom{99}684\phantom{9}}\\\phantom{171)999}51\\\end{array}
Find closest multiple of 171 to 735. We see that 4 \times 171 = 684 is the nearest. Now subtract 684 from 735 to get reminder 51. Add 4 to quotient.
\begin{array}{l}\phantom{171)}00104\phantom{11}\\171\overline{)178353}\\\phantom{171)}\underline{\phantom{}171\phantom{999}}\\\phantom{171)99}735\\\phantom{171)}\underline{\phantom{99}684\phantom{9}}\\\phantom{171)999}513\\\end{array}
Use the 6^{th} digit 3 from dividend 178353
\begin{array}{l}\phantom{171)}001043\phantom{12}\\171\overline{)178353}\\\phantom{171)}\underline{\phantom{}171\phantom{999}}\\\phantom{171)99}735\\\phantom{171)}\underline{\phantom{99}684\phantom{9}}\\\phantom{171)999}513\\\phantom{171)}\underline{\phantom{999}513\phantom{}}\\\phantom{171)999999}0\\\end{array}
Find closest multiple of 171 to 513. We see that 3 \times 171 = 513 is the nearest. Now subtract 513 from 513 to get reminder 0. Add 3 to quotient.
\text{Quotient: }1043 \text{Reminder: }0
Since 0 is less than 171, stop the division. The reminder is 0. The topmost line 001043 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1043.
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}