Solve 30000div824

$$30000 \div 824$$

Evaluate

$$\frac{3750}{103}\approx 36.40776699$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 30000

$$\begin{array}{l}\phantom{824)}\phantom{1}\\824\overline{)30000}\\\end{array}$$

Since 3 is less than 824, use the next digit 0 from dividend 30000 and add 0 to the quotient

$$\begin{array}{l}\phantom{824)}0\phantom{2}\\824\overline{)30000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 30000

$$\begin{array}{l}\phantom{824)}0\phantom{3}\\824\overline{)30000}\\\end{array}$$

Since 30 is less than 824, use the next digit 0 from dividend 30000 and add 0 to the quotient

$$\begin{array}{l}\phantom{824)}00\phantom{4}\\824\overline{)30000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 30000

$$\begin{array}{l}\phantom{824)}00\phantom{5}\\824\overline{)30000}\\\end{array}$$

Since 300 is less than 824, use the next digit 0 from dividend 30000 and add 0 to the quotient

$$\begin{array}{l}\phantom{824)}000\phantom{6}\\824\overline{)30000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 30000

$$\begin{array}{l}\phantom{824)}000\phantom{7}\\824\overline{)30000}\\\end{array}$$

Find closest multiple of 824 to 3000. We see that 3 \times 824 = 2472 is the nearest. Now subtract 2472 from 3000 to get reminder 528. Add 3 to quotient.

$$\begin{array}{l}\phantom{824)}0003\phantom{8}\\824\overline{)30000}\\\phantom{824)}\underline{\phantom{}2472\phantom{9}}\\\phantom{824)9}528\\\end{array}$$

Use the 5^{th} digit 0 from dividend 30000

$$\begin{array}{l}\phantom{824)}0003\phantom{9}\\824\overline{)30000}\\\phantom{824)}\underline{\phantom{}2472\phantom{9}}\\\phantom{824)9}5280\\\end{array}$$

Find closest multiple of 824 to 5280. We see that 6 \times 824 = 4944 is the nearest. Now subtract 4944 from 5280 to get reminder 336. Add 6 to quotient.

$$\begin{array}{l}\phantom{824)}00036\phantom{10}\\824\overline{)30000}\\\phantom{824)}\underline{\phantom{}2472\phantom{9}}\\\phantom{824)9}5280\\\phantom{824)}\underline{\phantom{9}4944\phantom{}}\\\phantom{824)99}336\\\end{array}$$

Since 336 is less than 824, stop the division. The reminder is 336. The topmost line 00036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }336$$

Factor

$$\frac{2 \cdot 3 \cdot 5 ^ {4}}{103} = 36\frac{42}{103} = 36.407766990291265$$