Solve 20825/57

$$\frac { 20825 } { 57 }$$

Evaluate

$$\frac{20825}{57}\approx 365.350877193$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 20825

$$\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)20825}\\\end{array}$$

Since 2 is less than 57, use the next digit 0 from dividend 20825 and add 0 to the quotient

$$\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)20825}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 20825

$$\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)20825}\\\end{array}$$

Since 20 is less than 57, use the next digit 8 from dividend 20825 and add 0 to the quotient

$$\begin{array}{l}\phantom{57)}00\phantom{4}\\57\overline{)20825}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 20825

$$\begin{array}{l}\phantom{57)}00\phantom{5}\\57\overline{)20825}\\\end{array}$$

Find closest multiple of 57 to 208. We see that 3 \times 57 = 171 is the nearest. Now subtract 171 from 208 to get reminder 37. Add 3 to quotient.

$$\begin{array}{l}\phantom{57)}003\phantom{6}\\57\overline{)20825}\\\phantom{57)}\underline{\phantom{}171\phantom{99}}\\\phantom{57)9}37\\\end{array}$$

Use the 4^{th} digit 2 from dividend 20825

$$\begin{array}{l}\phantom{57)}003\phantom{7}\\57\overline{)20825}\\\phantom{57)}\underline{\phantom{}171\phantom{99}}\\\phantom{57)9}372\\\end{array}$$

Find closest multiple of 57 to 372. We see that 6 \times 57 = 342 is the nearest. Now subtract 342 from 372 to get reminder 30. Add 6 to quotient.

$$\begin{array}{l}\phantom{57)}0036\phantom{8}\\57\overline{)20825}\\\phantom{57)}\underline{\phantom{}171\phantom{99}}\\\phantom{57)9}372\\\phantom{57)}\underline{\phantom{9}342\phantom{9}}\\\phantom{57)99}30\\\end{array}$$

Use the 5^{th} digit 5 from dividend 20825

$$\begin{array}{l}\phantom{57)}0036\phantom{9}\\57\overline{)20825}\\\phantom{57)}\underline{\phantom{}171\phantom{99}}\\\phantom{57)9}372\\\phantom{57)}\underline{\phantom{9}342\phantom{9}}\\\phantom{57)99}305\\\end{array}$$

Find closest multiple of 57 to 305. We see that 5 \times 57 = 285 is the nearest. Now subtract 285 from 305 to get reminder 20. Add 5 to quotient.

$$\begin{array}{l}\phantom{57)}00365\phantom{10}\\57\overline{)20825}\\\phantom{57)}\underline{\phantom{}171\phantom{99}}\\\phantom{57)9}372\\\phantom{57)}\underline{\phantom{9}342\phantom{9}}\\\phantom{57)99}305\\\phantom{57)}\underline{\phantom{99}285\phantom{}}\\\phantom{57)999}20\\\end{array}$$

Since 20 is less than 57, stop the division. The reminder is 20. The topmost line 00365 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 365.

$$\text{Quotient: }365 \text{Reminder: }20$$

Factor

$$\frac{5 ^ {2} \cdot 7 ^ {2} \cdot 17}{3 \cdot 19} = 365\frac{20}{57} = 365.35087719298247$$