Solve 999999999/81

$$\frac{ 999999999 }{ 81 }$$

Evaluate

$$12345679$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 999999999

$$\begin{array}{l}\phantom{81)}\phantom{1}\\81\overline{)999999999}\\\end{array}$$

Since 9 is less than 81, use the next digit 9 from dividend 999999999 and add 0 to the quotient

$$\begin{array}{l}\phantom{81)}0\phantom{2}\\81\overline{)999999999}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 999999999

$$\begin{array}{l}\phantom{81)}0\phantom{3}\\81\overline{)999999999}\\\end{array}$$

Find closest multiple of 81 to 99. We see that 1 \times 81 = 81 is the nearest. Now subtract 81 from 99 to get reminder 18. Add 1 to quotient.

$$\begin{array}{l}\phantom{81)}01\phantom{4}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}18\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 999999999

$$\begin{array}{l}\phantom{81)}01\phantom{5}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\end{array}$$

Find closest multiple of 81 to 189. We see that 2 \times 81 = 162 is the nearest. Now subtract 162 from 189 to get reminder 27. Add 2 to quotient.

$$\begin{array}{l}\phantom{81)}012\phantom{6}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}27\\\end{array}$$

Use the 4^{th} digit 9 from dividend 999999999

$$\begin{array}{l}\phantom{81)}012\phantom{7}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\end{array}$$

Find closest multiple of 81 to 279. We see that 3 \times 81 = 243 is the nearest. Now subtract 243 from 279 to get reminder 36. Add 3 to quotient.

$$\begin{array}{l}\phantom{81)}0123\phantom{8}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}36\\\end{array}$$

Use the 5^{th} digit 9 from dividend 999999999

$$\begin{array}{l}\phantom{81)}0123\phantom{9}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}369\\\end{array}$$

Find closest multiple of 81 to 369. We see that 4 \times 81 = 324 is the nearest. Now subtract 324 from 369 to get reminder 45. Add 4 to quotient.

$$\begin{array}{l}\phantom{81)}01234\phantom{10}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}369\\\phantom{81)}\underline{\phantom{99}324\phantom{9999}}\\\phantom{81)999}45\\\end{array}$$

Use the 6^{th} digit 9 from dividend 999999999

$$\begin{array}{l}\phantom{81)}01234\phantom{11}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}369\\\phantom{81)}\underline{\phantom{99}324\phantom{9999}}\\\phantom{81)999}459\\\end{array}$$

Find closest multiple of 81 to 459. We see that 5 \times 81 = 405 is the nearest. Now subtract 405 from 459 to get reminder 54. Add 5 to quotient.

$$\begin{array}{l}\phantom{81)}012345\phantom{12}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}369\\\phantom{81)}\underline{\phantom{99}324\phantom{9999}}\\\phantom{81)999}459\\\phantom{81)}\underline{\phantom{999}405\phantom{999}}\\\phantom{81)9999}54\\\end{array}$$

Use the 7^{th} digit 9 from dividend 999999999

$$\begin{array}{l}\phantom{81)}012345\phantom{13}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}369\\\phantom{81)}\underline{\phantom{99}324\phantom{9999}}\\\phantom{81)999}459\\\phantom{81)}\underline{\phantom{999}405\phantom{999}}\\\phantom{81)9999}549\\\end{array}$$

Find closest multiple of 81 to 549. We see that 6 \times 81 = 486 is the nearest. Now subtract 486 from 549 to get reminder 63. Add 6 to quotient.

$$\begin{array}{l}\phantom{81)}0123456\phantom{14}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}369\\\phantom{81)}\underline{\phantom{99}324\phantom{9999}}\\\phantom{81)999}459\\\phantom{81)}\underline{\phantom{999}405\phantom{999}}\\\phantom{81)9999}549\\\phantom{81)}\underline{\phantom{9999}486\phantom{99}}\\\phantom{81)99999}63\\\end{array}$$

Use the 8^{th} digit 9 from dividend 999999999

$$\begin{array}{l}\phantom{81)}0123456\phantom{15}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}369\\\phantom{81)}\underline{\phantom{99}324\phantom{9999}}\\\phantom{81)999}459\\\phantom{81)}\underline{\phantom{999}405\phantom{999}}\\\phantom{81)9999}549\\\phantom{81)}\underline{\phantom{9999}486\phantom{99}}\\\phantom{81)99999}639\\\end{array}$$

Find closest multiple of 81 to 639. We see that 7 \times 81 = 567 is the nearest. Now subtract 567 from 639 to get reminder 72. Add 7 to quotient.

$$\begin{array}{l}\phantom{81)}01234567\phantom{16}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}369\\\phantom{81)}\underline{\phantom{99}324\phantom{9999}}\\\phantom{81)999}459\\\phantom{81)}\underline{\phantom{999}405\phantom{999}}\\\phantom{81)9999}549\\\phantom{81)}\underline{\phantom{9999}486\phantom{99}}\\\phantom{81)99999}639\\\phantom{81)}\underline{\phantom{99999}567\phantom{9}}\\\phantom{81)999999}72\\\end{array}$$

Use the 9^{th} digit 9 from dividend 999999999

$$\begin{array}{l}\phantom{81)}01234567\phantom{17}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}369\\\phantom{81)}\underline{\phantom{99}324\phantom{9999}}\\\phantom{81)999}459\\\phantom{81)}\underline{\phantom{999}405\phantom{999}}\\\phantom{81)9999}549\\\phantom{81)}\underline{\phantom{9999}486\phantom{99}}\\\phantom{81)99999}639\\\phantom{81)}\underline{\phantom{99999}567\phantom{9}}\\\phantom{81)999999}729\\\end{array}$$

Find closest multiple of 81 to 729. We see that 9 \times 81 = 729 is the nearest. Now subtract 729 from 729 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{81)}012345679\phantom{18}\\81\overline{)999999999}\\\phantom{81)}\underline{\phantom{}81\phantom{9999999}}\\\phantom{81)}189\\\phantom{81)}\underline{\phantom{}162\phantom{999999}}\\\phantom{81)9}279\\\phantom{81)}\underline{\phantom{9}243\phantom{99999}}\\\phantom{81)99}369\\\phantom{81)}\underline{\phantom{99}324\phantom{9999}}\\\phantom{81)999}459\\\phantom{81)}\underline{\phantom{999}405\phantom{999}}\\\phantom{81)9999}549\\\phantom{81)}\underline{\phantom{9999}486\phantom{99}}\\\phantom{81)99999}639\\\phantom{81)}\underline{\phantom{99999}567\phantom{9}}\\\phantom{81)999999}729\\\phantom{81)}\underline{\phantom{999999}729\phantom{}}\\\phantom{81)999999999}0\\\end{array}$$

Since 0 is less than 81, stop the division. The reminder is 0. The topmost line 012345679 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12345679.

$$\text{Quotient: }12345679 \text{Reminder: }0$$

Factor

$$37\times 333667$$