Evaluate
\frac{475000}{7}\approx 67857.142857143
Factor
\frac{2 ^ {3} \cdot 5 ^ {5} \cdot 19}{7} = 67857\frac{1}{7} = 67857.14285714286
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\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)4750000}\\\end{array}
Use the 1^{st} digit 4 from dividend 4750000
\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)4750000}\\\end{array}
Since 4 is less than 70, use the next digit 7 from dividend 4750000 and add 0 to the quotient
\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)4750000}\\\end{array}
Use the 2^{nd} digit 7 from dividend 4750000
\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)4750000}\\\end{array}
Since 47 is less than 70, use the next digit 5 from dividend 4750000 and add 0 to the quotient
\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)4750000}\\\end{array}
Use the 3^{rd} digit 5 from dividend 4750000
\begin{array}{l}\phantom{70)}006\phantom{6}\\70\overline{)4750000}\\\phantom{70)}\underline{\phantom{}420\phantom{9999}}\\\phantom{70)9}55\\\end{array}
Find closest multiple of 70 to 475. We see that 6 \times 70 = 420 is the nearest. Now subtract 420 from 475 to get reminder 55. Add 6 to quotient.
\begin{array}{l}\phantom{70)}006\phantom{7}\\70\overline{)4750000}\\\phantom{70)}\underline{\phantom{}420\phantom{9999}}\\\phantom{70)9}550\\\end{array}
Use the 4^{th} digit 0 from dividend 4750000
\begin{array}{l}\phantom{70)}0067\phantom{8}\\70\overline{)4750000}\\\phantom{70)}\underline{\phantom{}420\phantom{9999}}\\\phantom{70)9}550\\\phantom{70)}\underline{\phantom{9}490\phantom{999}}\\\phantom{70)99}60\\\end{array}
Find closest multiple of 70 to 550. We see that 7 \times 70 = 490 is the nearest. Now subtract 490 from 550 to get reminder 60. Add 7 to quotient.
\begin{array}{l}\phantom{70)}0067\phantom{9}\\70\overline{)4750000}\\\phantom{70)}\underline{\phantom{}420\phantom{9999}}\\\phantom{70)9}550\\\phantom{70)}\underline{\phantom{9}490\phantom{999}}\\\phantom{70)99}600\\\end{array}
Use the 5^{th} digit 0 from dividend 4750000
\begin{array}{l}\phantom{70)}00678\phantom{10}\\70\overline{)4750000}\\\phantom{70)}\underline{\phantom{}420\phantom{9999}}\\\phantom{70)9}550\\\phantom{70)}\underline{\phantom{9}490\phantom{999}}\\\phantom{70)99}600\\\phantom{70)}\underline{\phantom{99}560\phantom{99}}\\\phantom{70)999}40\\\end{array}
Find closest multiple of 70 to 600. We see that 8 \times 70 = 560 is the nearest. Now subtract 560 from 600 to get reminder 40. Add 8 to quotient.
\begin{array}{l}\phantom{70)}00678\phantom{11}\\70\overline{)4750000}\\\phantom{70)}\underline{\phantom{}420\phantom{9999}}\\\phantom{70)9}550\\\phantom{70)}\underline{\phantom{9}490\phantom{999}}\\\phantom{70)99}600\\\phantom{70)}\underline{\phantom{99}560\phantom{99}}\\\phantom{70)999}400\\\end{array}
Use the 6^{th} digit 0 from dividend 4750000
\begin{array}{l}\phantom{70)}006785\phantom{12}\\70\overline{)4750000}\\\phantom{70)}\underline{\phantom{}420\phantom{9999}}\\\phantom{70)9}550\\\phantom{70)}\underline{\phantom{9}490\phantom{999}}\\\phantom{70)99}600\\\phantom{70)}\underline{\phantom{99}560\phantom{99}}\\\phantom{70)999}400\\\phantom{70)}\underline{\phantom{999}350\phantom{9}}\\\phantom{70)9999}50\\\end{array}
Find closest multiple of 70 to 400. We see that 5 \times 70 = 350 is the nearest. Now subtract 350 from 400 to get reminder 50. Add 5 to quotient.
\begin{array}{l}\phantom{70)}006785\phantom{13}\\70\overline{)4750000}\\\phantom{70)}\underline{\phantom{}420\phantom{9999}}\\\phantom{70)9}550\\\phantom{70)}\underline{\phantom{9}490\phantom{999}}\\\phantom{70)99}600\\\phantom{70)}\underline{\phantom{99}560\phantom{99}}\\\phantom{70)999}400\\\phantom{70)}\underline{\phantom{999}350\phantom{9}}\\\phantom{70)9999}500\\\end{array}
Use the 7^{th} digit 0 from dividend 4750000
\begin{array}{l}\phantom{70)}0067857\phantom{14}\\70\overline{)4750000}\\\phantom{70)}\underline{\phantom{}420\phantom{9999}}\\\phantom{70)9}550\\\phantom{70)}\underline{\phantom{9}490\phantom{999}}\\\phantom{70)99}600\\\phantom{70)}\underline{\phantom{99}560\phantom{99}}\\\phantom{70)999}400\\\phantom{70)}\underline{\phantom{999}350\phantom{9}}\\\phantom{70)9999}500\\\phantom{70)}\underline{\phantom{9999}490\phantom{}}\\\phantom{70)99999}10\\\end{array}
Find closest multiple of 70 to 500. We see that 7 \times 70 = 490 is the nearest. Now subtract 490 from 500 to get reminder 10. Add 7 to quotient.
\text{Quotient: }67857 \text{Reminder: }10
Since 10 is less than 70, stop the division. The reminder is 10. The topmost line 0067857 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 67857.
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}