Solve 25000div1700

$$25000 \div 1700$$

Evaluate

$$\frac{250}{17}\approx 14.705882353$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 25000

$$\begin{array}{l}\phantom{1700)}\phantom{1}\\1700\overline{)25000}\\\end{array}$$

Since 2 is less than 1700, use the next digit 5 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1700)}0\phantom{2}\\1700\overline{)25000}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 25000

$$\begin{array}{l}\phantom{1700)}0\phantom{3}\\1700\overline{)25000}\\\end{array}$$

Since 25 is less than 1700, use the next digit 0 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1700)}00\phantom{4}\\1700\overline{)25000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{1700)}00\phantom{5}\\1700\overline{)25000}\\\end{array}$$

Since 250 is less than 1700, use the next digit 0 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1700)}000\phantom{6}\\1700\overline{)25000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{1700)}000\phantom{7}\\1700\overline{)25000}\\\end{array}$$

Find closest multiple of 1700 to 2500. We see that 1 \times 1700 = 1700 is the nearest. Now subtract 1700 from 2500 to get reminder 800. Add 1 to quotient.

$$\begin{array}{l}\phantom{1700)}0001\phantom{8}\\1700\overline{)25000}\\\phantom{1700)}\underline{\phantom{}1700\phantom{9}}\\\phantom{1700)9}800\\\end{array}$$

Use the 5^{th} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{1700)}0001\phantom{9}\\1700\overline{)25000}\\\phantom{1700)}\underline{\phantom{}1700\phantom{9}}\\\phantom{1700)9}8000\\\end{array}$$

Find closest multiple of 1700 to 8000. We see that 4 \times 1700 = 6800 is the nearest. Now subtract 6800 from 8000 to get reminder 1200. Add 4 to quotient.

$$\begin{array}{l}\phantom{1700)}00014\phantom{10}\\1700\overline{)25000}\\\phantom{1700)}\underline{\phantom{}1700\phantom{9}}\\\phantom{1700)9}8000\\\phantom{1700)}\underline{\phantom{9}6800\phantom{}}\\\phantom{1700)9}1200\\\end{array}$$

Since 1200 is less than 1700, stop the division. The reminder is 1200. The topmost line 00014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }1200$$

Factor

$$\frac{2 \cdot 5 ^ {3}}{17} = 14\frac{12}{17} = 14.705882352941176$$