Solve 81000div2317

$$81000 \div 2317$$

Evaluate

$$\frac{81000}{2317}\approx 34.958998705$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 81000

$$\begin{array}{l}\phantom{2317)}\phantom{1}\\2317\overline{)81000}\\\end{array}$$

Since 8 is less than 2317, use the next digit 1 from dividend 81000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2317)}0\phantom{2}\\2317\overline{)81000}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 81000

$$\begin{array}{l}\phantom{2317)}0\phantom{3}\\2317\overline{)81000}\\\end{array}$$

Since 81 is less than 2317, use the next digit 0 from dividend 81000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2317)}00\phantom{4}\\2317\overline{)81000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 81000

$$\begin{array}{l}\phantom{2317)}00\phantom{5}\\2317\overline{)81000}\\\end{array}$$

Since 810 is less than 2317, use the next digit 0 from dividend 81000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2317)}000\phantom{6}\\2317\overline{)81000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 81000

$$\begin{array}{l}\phantom{2317)}000\phantom{7}\\2317\overline{)81000}\\\end{array}$$

Find closest multiple of 2317 to 8100. We see that 3 \times 2317 = 6951 is the nearest. Now subtract 6951 from 8100 to get reminder 1149. Add 3 to quotient.

$$\begin{array}{l}\phantom{2317)}0003\phantom{8}\\2317\overline{)81000}\\\phantom{2317)}\underline{\phantom{}6951\phantom{9}}\\\phantom{2317)}1149\\\end{array}$$

Use the 5^{th} digit 0 from dividend 81000

$$\begin{array}{l}\phantom{2317)}0003\phantom{9}\\2317\overline{)81000}\\\phantom{2317)}\underline{\phantom{}6951\phantom{9}}\\\phantom{2317)}11490\\\end{array}$$

Find closest multiple of 2317 to 11490. We see that 4 \times 2317 = 9268 is the nearest. Now subtract 9268 from 11490 to get reminder 2222. Add 4 to quotient.

$$\begin{array}{l}\phantom{2317)}00034\phantom{10}\\2317\overline{)81000}\\\phantom{2317)}\underline{\phantom{}6951\phantom{9}}\\\phantom{2317)}11490\\\phantom{2317)}\underline{\phantom{9}9268\phantom{}}\\\phantom{2317)9}2222\\\end{array}$$

Since 2222 is less than 2317, stop the division. The reminder is 2222. The topmost line 00034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34.

$$\text{Quotient: }34 \text{Reminder: }2222$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {4} \cdot 5 ^ {3}}{7 \cdot 331} = 34\frac{2222}{2317} = 34.95899870522227$$