Evaluate
\frac{472911}{14}\approx 33779.357142857
Factor
\frac{3 \cdot 157637}{2 \cdot 7} = 33779\frac{5}{14} = 33779.357142857145
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\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)1418733}\\\end{array}
Use the 1^{st} digit 1 from dividend 1418733
\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)1418733}\\\end{array}
Since 1 is less than 42, use the next digit 4 from dividend 1418733 and add 0 to the quotient
\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)1418733}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1418733
\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)1418733}\\\end{array}
Since 14 is less than 42, use the next digit 1 from dividend 1418733 and add 0 to the quotient
\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)1418733}\\\end{array}
Use the 3^{rd} digit 1 from dividend 1418733
\begin{array}{l}\phantom{42)}003\phantom{6}\\42\overline{)1418733}\\\phantom{42)}\underline{\phantom{}126\phantom{9999}}\\\phantom{42)9}15\\\end{array}
Find closest multiple of 42 to 141. We see that 3 \times 42 = 126 is the nearest. Now subtract 126 from 141 to get reminder 15. Add 3 to quotient.
\begin{array}{l}\phantom{42)}003\phantom{7}\\42\overline{)1418733}\\\phantom{42)}\underline{\phantom{}126\phantom{9999}}\\\phantom{42)9}158\\\end{array}
Use the 4^{th} digit 8 from dividend 1418733
\begin{array}{l}\phantom{42)}0033\phantom{8}\\42\overline{)1418733}\\\phantom{42)}\underline{\phantom{}126\phantom{9999}}\\\phantom{42)9}158\\\phantom{42)}\underline{\phantom{9}126\phantom{999}}\\\phantom{42)99}32\\\end{array}
Find closest multiple of 42 to 158. We see that 3 \times 42 = 126 is the nearest. Now subtract 126 from 158 to get reminder 32. Add 3 to quotient.
\begin{array}{l}\phantom{42)}0033\phantom{9}\\42\overline{)1418733}\\\phantom{42)}\underline{\phantom{}126\phantom{9999}}\\\phantom{42)9}158\\\phantom{42)}\underline{\phantom{9}126\phantom{999}}\\\phantom{42)99}327\\\end{array}
Use the 5^{th} digit 7 from dividend 1418733
\begin{array}{l}\phantom{42)}00337\phantom{10}\\42\overline{)1418733}\\\phantom{42)}\underline{\phantom{}126\phantom{9999}}\\\phantom{42)9}158\\\phantom{42)}\underline{\phantom{9}126\phantom{999}}\\\phantom{42)99}327\\\phantom{42)}\underline{\phantom{99}294\phantom{99}}\\\phantom{42)999}33\\\end{array}
Find closest multiple of 42 to 327. We see that 7 \times 42 = 294 is the nearest. Now subtract 294 from 327 to get reminder 33. Add 7 to quotient.
\begin{array}{l}\phantom{42)}00337\phantom{11}\\42\overline{)1418733}\\\phantom{42)}\underline{\phantom{}126\phantom{9999}}\\\phantom{42)9}158\\\phantom{42)}\underline{\phantom{9}126\phantom{999}}\\\phantom{42)99}327\\\phantom{42)}\underline{\phantom{99}294\phantom{99}}\\\phantom{42)999}333\\\end{array}
Use the 6^{th} digit 3 from dividend 1418733
\begin{array}{l}\phantom{42)}003377\phantom{12}\\42\overline{)1418733}\\\phantom{42)}\underline{\phantom{}126\phantom{9999}}\\\phantom{42)9}158\\\phantom{42)}\underline{\phantom{9}126\phantom{999}}\\\phantom{42)99}327\\\phantom{42)}\underline{\phantom{99}294\phantom{99}}\\\phantom{42)999}333\\\phantom{42)}\underline{\phantom{999}294\phantom{9}}\\\phantom{42)9999}39\\\end{array}
Find closest multiple of 42 to 333. We see that 7 \times 42 = 294 is the nearest. Now subtract 294 from 333 to get reminder 39. Add 7 to quotient.
\begin{array}{l}\phantom{42)}003377\phantom{13}\\42\overline{)1418733}\\\phantom{42)}\underline{\phantom{}126\phantom{9999}}\\\phantom{42)9}158\\\phantom{42)}\underline{\phantom{9}126\phantom{999}}\\\phantom{42)99}327\\\phantom{42)}\underline{\phantom{99}294\phantom{99}}\\\phantom{42)999}333\\\phantom{42)}\underline{\phantom{999}294\phantom{9}}\\\phantom{42)9999}393\\\end{array}
Use the 7^{th} digit 3 from dividend 1418733
\begin{array}{l}\phantom{42)}0033779\phantom{14}\\42\overline{)1418733}\\\phantom{42)}\underline{\phantom{}126\phantom{9999}}\\\phantom{42)9}158\\\phantom{42)}\underline{\phantom{9}126\phantom{999}}\\\phantom{42)99}327\\\phantom{42)}\underline{\phantom{99}294\phantom{99}}\\\phantom{42)999}333\\\phantom{42)}\underline{\phantom{999}294\phantom{9}}\\\phantom{42)9999}393\\\phantom{42)}\underline{\phantom{9999}378\phantom{}}\\\phantom{42)99999}15\\\end{array}
Find closest multiple of 42 to 393. We see that 9 \times 42 = 378 is the nearest. Now subtract 378 from 393 to get reminder 15. Add 9 to quotient.
\text{Quotient: }33779 \text{Reminder: }15
Since 15 is less than 42, stop the division. The reminder is 15. The topmost line 0033779 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33779.
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}