Solve 1725div207

$$1725 \div 207$$

Evaluate

$$\frac{25}{3}\approx 8.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1725

$$\begin{array}{l}\phantom{207)}\phantom{1}\\207\overline{)1725}\\\end{array}$$

Since 1 is less than 207, use the next digit 7 from dividend 1725 and add 0 to the quotient

$$\begin{array}{l}\phantom{207)}0\phantom{2}\\207\overline{)1725}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 1725

$$\begin{array}{l}\phantom{207)}0\phantom{3}\\207\overline{)1725}\\\end{array}$$

Since 17 is less than 207, use the next digit 2 from dividend 1725 and add 0 to the quotient

$$\begin{array}{l}\phantom{207)}00\phantom{4}\\207\overline{)1725}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1725

$$\begin{array}{l}\phantom{207)}00\phantom{5}\\207\overline{)1725}\\\end{array}$$

Since 172 is less than 207, use the next digit 5 from dividend 1725 and add 0 to the quotient

$$\begin{array}{l}\phantom{207)}000\phantom{6}\\207\overline{)1725}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1725

$$\begin{array}{l}\phantom{207)}000\phantom{7}\\207\overline{)1725}\\\end{array}$$

Find closest multiple of 207 to 1725. We see that 8 \times 207 = 1656 is the nearest. Now subtract 1656 from 1725 to get reminder 69. Add 8 to quotient.

$$\begin{array}{l}\phantom{207)}0008\phantom{8}\\207\overline{)1725}\\\phantom{207)}\underline{\phantom{}1656\phantom{}}\\\phantom{207)99}69\\\end{array}$$

Since 69 is less than 207, stop the division. The reminder is 69. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }69$$

Factor

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$