Solve 28800/510

$$\frac { 28800 } { 510 }$$

Evaluate

$$\frac{960}{17}\approx 56.470588235$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 28800

$$\begin{array}{l}\phantom{510)}\phantom{1}\\510\overline{)28800}\\\end{array}$$

Since 2 is less than 510, use the next digit 8 from dividend 28800 and add 0 to the quotient

$$\begin{array}{l}\phantom{510)}0\phantom{2}\\510\overline{)28800}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 28800

$$\begin{array}{l}\phantom{510)}0\phantom{3}\\510\overline{)28800}\\\end{array}$$

Since 28 is less than 510, use the next digit 8 from dividend 28800 and add 0 to the quotient

$$\begin{array}{l}\phantom{510)}00\phantom{4}\\510\overline{)28800}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 28800

$$\begin{array}{l}\phantom{510)}00\phantom{5}\\510\overline{)28800}\\\end{array}$$

Since 288 is less than 510, use the next digit 0 from dividend 28800 and add 0 to the quotient

$$\begin{array}{l}\phantom{510)}000\phantom{6}\\510\overline{)28800}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 28800

$$\begin{array}{l}\phantom{510)}000\phantom{7}\\510\overline{)28800}\\\end{array}$$

Find closest multiple of 510 to 2880. We see that 5 \times 510 = 2550 is the nearest. Now subtract 2550 from 2880 to get reminder 330. Add 5 to quotient.

$$\begin{array}{l}\phantom{510)}0005\phantom{8}\\510\overline{)28800}\\\phantom{510)}\underline{\phantom{}2550\phantom{9}}\\\phantom{510)9}330\\\end{array}$$

Use the 5^{th} digit 0 from dividend 28800

$$\begin{array}{l}\phantom{510)}0005\phantom{9}\\510\overline{)28800}\\\phantom{510)}\underline{\phantom{}2550\phantom{9}}\\\phantom{510)9}3300\\\end{array}$$

Find closest multiple of 510 to 3300. We see that 6 \times 510 = 3060 is the nearest. Now subtract 3060 from 3300 to get reminder 240. Add 6 to quotient.

$$\begin{array}{l}\phantom{510)}00056\phantom{10}\\510\overline{)28800}\\\phantom{510)}\underline{\phantom{}2550\phantom{9}}\\\phantom{510)9}3300\\\phantom{510)}\underline{\phantom{9}3060\phantom{}}\\\phantom{510)99}240\\\end{array}$$

Since 240 is less than 510, stop the division. The reminder is 240. The topmost line 00056 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 56.

$$\text{Quotient: }56 \text{Reminder: }240$$

Factor

$$\frac{2 ^ {6} \cdot 3 \cdot 5}{17} = 56\frac{8}{17} \approx 56.470588235$$