Solve 5000div911

$$5000 \div 911$$

Evaluate

$$\frac{5000}{911}\approx 5.488474204$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{911)}\phantom{1}\\911\overline{)5000}\\\end{array}$$

Since 5 is less than 911, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{911)}0\phantom{2}\\911\overline{)5000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{911)}0\phantom{3}\\911\overline{)5000}\\\end{array}$$

Since 50 is less than 911, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{911)}00\phantom{4}\\911\overline{)5000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{911)}00\phantom{5}\\911\overline{)5000}\\\end{array}$$

Since 500 is less than 911, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{911)}000\phantom{6}\\911\overline{)5000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{911)}000\phantom{7}\\911\overline{)5000}\\\end{array}$$

Find closest multiple of 911 to 5000. We see that 5 \times 911 = 4555 is the nearest. Now subtract 4555 from 5000 to get reminder 445. Add 5 to quotient.

$$\begin{array}{l}\phantom{911)}0005\phantom{8}\\911\overline{)5000}\\\phantom{911)}\underline{\phantom{}4555\phantom{}}\\\phantom{911)9}445\\\end{array}$$

Since 445 is less than 911, stop the division. The reminder is 445. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }445$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {4}}{911} = 5\frac{445}{911} = 5.48847420417124$$