Solve 10000div360

$$10000 \div 360$$

Evaluate

$$\frac{250}{9}\approx 27.777777778$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10000

$$\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)10000}\\\end{array}$$

Since 1 is less than 360, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)10000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)10000}\\\end{array}$$

Since 10 is less than 360, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)10000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)10000}\\\end{array}$$

Since 100 is less than 360, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}000\phantom{6}\\360\overline{)10000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{360)}000\phantom{7}\\360\overline{)10000}\\\end{array}$$

Find closest multiple of 360 to 1000. We see that 2 \times 360 = 720 is the nearest. Now subtract 720 from 1000 to get reminder 280. Add 2 to quotient.

$$\begin{array}{l}\phantom{360)}0002\phantom{8}\\360\overline{)10000}\\\phantom{360)}\underline{\phantom{9}720\phantom{9}}\\\phantom{360)9}280\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{360)}0002\phantom{9}\\360\overline{)10000}\\\phantom{360)}\underline{\phantom{9}720\phantom{9}}\\\phantom{360)9}2800\\\end{array}$$

Find closest multiple of 360 to 2800. We see that 7 \times 360 = 2520 is the nearest. Now subtract 2520 from 2800 to get reminder 280. Add 7 to quotient.

$$\begin{array}{l}\phantom{360)}00027\phantom{10}\\360\overline{)10000}\\\phantom{360)}\underline{\phantom{9}720\phantom{9}}\\\phantom{360)9}2800\\\phantom{360)}\underline{\phantom{9}2520\phantom{}}\\\phantom{360)99}280\\\end{array}$$

Since 280 is less than 360, stop the division. The reminder is 280. The topmost line 00027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.

$$\text{Quotient: }27 \text{Reminder: }280$$

Factor

$$\frac{2 \cdot 5 ^ {3}}{3 ^ {2}} = 27\frac{7}{9} = 27.77777777777778$$