Solve 5000div360

$$5000 \div 360$$

Evaluate

$$\frac{125}{9}\approx 13.888888889$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5000

$$\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)5000}\\\end{array}$$

Since 5 is less than 360, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)5000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)5000}\\\end{array}$$

Since 50 is less than 360, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)5000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)5000}\\\end{array}$$

Find closest multiple of 360 to 500. We see that 1 \times 360 = 360 is the nearest. Now subtract 360 from 500 to get reminder 140. Add 1 to quotient.

$$\begin{array}{l}\phantom{360)}001\phantom{6}\\360\overline{)5000}\\\phantom{360)}\underline{\phantom{}360\phantom{9}}\\\phantom{360)}140\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{360)}001\phantom{7}\\360\overline{)5000}\\\phantom{360)}\underline{\phantom{}360\phantom{9}}\\\phantom{360)}1400\\\end{array}$$

Find closest multiple of 360 to 1400. We see that 3 \times 360 = 1080 is the nearest. Now subtract 1080 from 1400 to get reminder 320. Add 3 to quotient.

$$\begin{array}{l}\phantom{360)}0013\phantom{8}\\360\overline{)5000}\\\phantom{360)}\underline{\phantom{}360\phantom{9}}\\\phantom{360)}1400\\\phantom{360)}\underline{\phantom{}1080\phantom{}}\\\phantom{360)9}320\\\end{array}$$

Since 320 is less than 360, stop the division. The reminder is 320. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }320$$

Factor

$$\frac{5 ^ {3}}{3 ^ {2}} = 13\frac{8}{9} = 13.88888888888889$$