Solve 5000div36

$$5000 \div 36$$

Evaluate

$$\frac{1250}{9}\approx 138.888888889$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)5000}\\\end{array}$$

Since 5 is less than 36, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)5000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)5000}\\\end{array}$$

Find closest multiple of 36 to 50. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 50 to get reminder 14. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)5000}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}14\\\end{array}$$

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

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)5000}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}140\\\end{array}$$

Find closest multiple of 36 to 140. We see that 3 \times 36 = 108 is the nearest. Now subtract 108 from 140 to get reminder 32. Add 3 to quotient.

$$\begin{array}{l}\phantom{36)}013\phantom{6}\\36\overline{)5000}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}140\\\phantom{36)}\underline{\phantom{}108\phantom{9}}\\\phantom{36)9}32\\\end{array}$$

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

$$\begin{array}{l}\phantom{36)}013\phantom{7}\\36\overline{)5000}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}140\\\phantom{36)}\underline{\phantom{}108\phantom{9}}\\\phantom{36)9}320\\\end{array}$$

Find closest multiple of 36 to 320. We see that 8 \times 36 = 288 is the nearest. Now subtract 288 from 320 to get reminder 32. Add 8 to quotient.

$$\begin{array}{l}\phantom{36)}0138\phantom{8}\\36\overline{)5000}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}140\\\phantom{36)}\underline{\phantom{}108\phantom{9}}\\\phantom{36)9}320\\\phantom{36)}\underline{\phantom{9}288\phantom{}}\\\phantom{36)99}32\\\end{array}$$

Since 32 is less than 36, stop the division. The reminder is 32. The topmost line 0138 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 138.

$$\text{Quotient: }138 \text{Reminder: }32$$

Factor

$$\frac{2 \cdot 5 ^ {4}}{3 ^ {2}} = 138\frac{8}{9} = 138.88888888888889$$