Solve 5000div350=

$$5000 \div 350=$$

Evaluate

$$\frac{100}{7}\approx 14.285714286$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{350)}\phantom{1}\\350\overline{)5000}\\\end{array}$$

Since 5 is less than 350, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{350)}0\phantom{2}\\350\overline{)5000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{350)}0\phantom{3}\\350\overline{)5000}\\\end{array}$$

Since 50 is less than 350, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{350)}00\phantom{4}\\350\overline{)5000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{350)}00\phantom{5}\\350\overline{)5000}\\\end{array}$$

Find closest multiple of 350 to 500. We see that 1 \times 350 = 350 is the nearest. Now subtract 350 from 500 to get reminder 150. Add 1 to quotient.

$$\begin{array}{l}\phantom{350)}001\phantom{6}\\350\overline{)5000}\\\phantom{350)}\underline{\phantom{}350\phantom{9}}\\\phantom{350)}150\\\end{array}$$

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

$$\begin{array}{l}\phantom{350)}001\phantom{7}\\350\overline{)5000}\\\phantom{350)}\underline{\phantom{}350\phantom{9}}\\\phantom{350)}1500\\\end{array}$$

Find closest multiple of 350 to 1500. We see that 4 \times 350 = 1400 is the nearest. Now subtract 1400 from 1500 to get reminder 100. Add 4 to quotient.

$$\begin{array}{l}\phantom{350)}0014\phantom{8}\\350\overline{)5000}\\\phantom{350)}\underline{\phantom{}350\phantom{9}}\\\phantom{350)}1500\\\phantom{350)}\underline{\phantom{}1400\phantom{}}\\\phantom{350)9}100\\\end{array}$$

Since 100 is less than 350, stop the division. The reminder is 100. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }100$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{7} = 14\frac{2}{7} = 14.285714285714286$$