Solve 5000div77

$$5000 \div 77$$

Evaluate

$$\frac{5000}{77}\approx 64.935064935$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{77)}\phantom{1}\\77\overline{)5000}\\\end{array}$$

Since 5 is less than 77, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{77)}0\phantom{2}\\77\overline{)5000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{77)}0\phantom{3}\\77\overline{)5000}\\\end{array}$$

Since 50 is less than 77, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{77)}00\phantom{4}\\77\overline{)5000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{77)}00\phantom{5}\\77\overline{)5000}\\\end{array}$$

Find closest multiple of 77 to 500. We see that 6 \times 77 = 462 is the nearest. Now subtract 462 from 500 to get reminder 38. Add 6 to quotient.

$$\begin{array}{l}\phantom{77)}006\phantom{6}\\77\overline{)5000}\\\phantom{77)}\underline{\phantom{}462\phantom{9}}\\\phantom{77)9}38\\\end{array}$$

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

$$\begin{array}{l}\phantom{77)}006\phantom{7}\\77\overline{)5000}\\\phantom{77)}\underline{\phantom{}462\phantom{9}}\\\phantom{77)9}380\\\end{array}$$

Find closest multiple of 77 to 380. We see that 4 \times 77 = 308 is the nearest. Now subtract 308 from 380 to get reminder 72. Add 4 to quotient.

$$\begin{array}{l}\phantom{77)}0064\phantom{8}\\77\overline{)5000}\\\phantom{77)}\underline{\phantom{}462\phantom{9}}\\\phantom{77)9}380\\\phantom{77)}\underline{\phantom{9}308\phantom{}}\\\phantom{77)99}72\\\end{array}$$

Since 72 is less than 77, stop the division. The reminder is 72. The topmost line 0064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 64.

$$\text{Quotient: }64 \text{Reminder: }72$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {4}}{7 \cdot 11} = 64\frac{72}{77} = 64.93506493506493$$