Evaluate
\frac{1091990}{19}\approx 57473.157894737
Factor
\frac{2 \cdot 5 \cdot 109199}{19} = 57473\frac{3}{19} = 57473.15789473684
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\begin{array}{l}\phantom{76)}\phantom{1}\\76\overline{)4367960}\\\end{array}
Use the 1^{st} digit 4 from dividend 4367960
\begin{array}{l}\phantom{76)}0\phantom{2}\\76\overline{)4367960}\\\end{array}
Since 4 is less than 76, use the next digit 3 from dividend 4367960 and add 0 to the quotient
\begin{array}{l}\phantom{76)}0\phantom{3}\\76\overline{)4367960}\\\end{array}
Use the 2^{nd} digit 3 from dividend 4367960
\begin{array}{l}\phantom{76)}00\phantom{4}\\76\overline{)4367960}\\\end{array}
Since 43 is less than 76, use the next digit 6 from dividend 4367960 and add 0 to the quotient
\begin{array}{l}\phantom{76)}00\phantom{5}\\76\overline{)4367960}\\\end{array}
Use the 3^{rd} digit 6 from dividend 4367960
\begin{array}{l}\phantom{76)}005\phantom{6}\\76\overline{)4367960}\\\phantom{76)}\underline{\phantom{}380\phantom{9999}}\\\phantom{76)9}56\\\end{array}
Find closest multiple of 76 to 436. We see that 5 \times 76 = 380 is the nearest. Now subtract 380 from 436 to get reminder 56. Add 5 to quotient.
\begin{array}{l}\phantom{76)}005\phantom{7}\\76\overline{)4367960}\\\phantom{76)}\underline{\phantom{}380\phantom{9999}}\\\phantom{76)9}567\\\end{array}
Use the 4^{th} digit 7 from dividend 4367960
\begin{array}{l}\phantom{76)}0057\phantom{8}\\76\overline{)4367960}\\\phantom{76)}\underline{\phantom{}380\phantom{9999}}\\\phantom{76)9}567\\\phantom{76)}\underline{\phantom{9}532\phantom{999}}\\\phantom{76)99}35\\\end{array}
Find closest multiple of 76 to 567. We see that 7 \times 76 = 532 is the nearest. Now subtract 532 from 567 to get reminder 35. Add 7 to quotient.
\begin{array}{l}\phantom{76)}0057\phantom{9}\\76\overline{)4367960}\\\phantom{76)}\underline{\phantom{}380\phantom{9999}}\\\phantom{76)9}567\\\phantom{76)}\underline{\phantom{9}532\phantom{999}}\\\phantom{76)99}359\\\end{array}
Use the 5^{th} digit 9 from dividend 4367960
\begin{array}{l}\phantom{76)}00574\phantom{10}\\76\overline{)4367960}\\\phantom{76)}\underline{\phantom{}380\phantom{9999}}\\\phantom{76)9}567\\\phantom{76)}\underline{\phantom{9}532\phantom{999}}\\\phantom{76)99}359\\\phantom{76)}\underline{\phantom{99}304\phantom{99}}\\\phantom{76)999}55\\\end{array}
Find closest multiple of 76 to 359. We see that 4 \times 76 = 304 is the nearest. Now subtract 304 from 359 to get reminder 55. Add 4 to quotient.
\begin{array}{l}\phantom{76)}00574\phantom{11}\\76\overline{)4367960}\\\phantom{76)}\underline{\phantom{}380\phantom{9999}}\\\phantom{76)9}567\\\phantom{76)}\underline{\phantom{9}532\phantom{999}}\\\phantom{76)99}359\\\phantom{76)}\underline{\phantom{99}304\phantom{99}}\\\phantom{76)999}556\\\end{array}
Use the 6^{th} digit 6 from dividend 4367960
\begin{array}{l}\phantom{76)}005747\phantom{12}\\76\overline{)4367960}\\\phantom{76)}\underline{\phantom{}380\phantom{9999}}\\\phantom{76)9}567\\\phantom{76)}\underline{\phantom{9}532\phantom{999}}\\\phantom{76)99}359\\\phantom{76)}\underline{\phantom{99}304\phantom{99}}\\\phantom{76)999}556\\\phantom{76)}\underline{\phantom{999}532\phantom{9}}\\\phantom{76)9999}24\\\end{array}
Find closest multiple of 76 to 556. We see that 7 \times 76 = 532 is the nearest. Now subtract 532 from 556 to get reminder 24. Add 7 to quotient.
\begin{array}{l}\phantom{76)}005747\phantom{13}\\76\overline{)4367960}\\\phantom{76)}\underline{\phantom{}380\phantom{9999}}\\\phantom{76)9}567\\\phantom{76)}\underline{\phantom{9}532\phantom{999}}\\\phantom{76)99}359\\\phantom{76)}\underline{\phantom{99}304\phantom{99}}\\\phantom{76)999}556\\\phantom{76)}\underline{\phantom{999}532\phantom{9}}\\\phantom{76)9999}240\\\end{array}
Use the 7^{th} digit 0 from dividend 4367960
\begin{array}{l}\phantom{76)}0057473\phantom{14}\\76\overline{)4367960}\\\phantom{76)}\underline{\phantom{}380\phantom{9999}}\\\phantom{76)9}567\\\phantom{76)}\underline{\phantom{9}532\phantom{999}}\\\phantom{76)99}359\\\phantom{76)}\underline{\phantom{99}304\phantom{99}}\\\phantom{76)999}556\\\phantom{76)}\underline{\phantom{999}532\phantom{9}}\\\phantom{76)9999}240\\\phantom{76)}\underline{\phantom{9999}228\phantom{}}\\\phantom{76)99999}12\\\end{array}
Find closest multiple of 76 to 240. We see that 3 \times 76 = 228 is the nearest. Now subtract 228 from 240 to get reminder 12. Add 3 to quotient.
\text{Quotient: }57473 \text{Reminder: }12
Since 12 is less than 76, stop the division. The reminder is 12. The topmost line 0057473 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 57473.
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}