Solve 5378:10

$$5378 : 10$$

Evaluate

$$\frac{2689}{5}=537.8$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5378

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)5378}\\\end{array}$$

Since 5 is less than 10, use the next digit 3 from dividend 5378 and add 0 to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)5378}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 5378

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)5378}\\\end{array}$$

Find closest multiple of 10 to 53. We see that 5 \times 10 = 50 is the nearest. Now subtract 50 from 53 to get reminder 3. Add 5 to quotient.

$$\begin{array}{l}\phantom{10)}05\phantom{4}\\10\overline{)5378}\\\phantom{10)}\underline{\phantom{}50\phantom{99}}\\\phantom{10)9}3\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 5378

$$\begin{array}{l}\phantom{10)}05\phantom{5}\\10\overline{)5378}\\\phantom{10)}\underline{\phantom{}50\phantom{99}}\\\phantom{10)9}37\\\end{array}$$

Find closest multiple of 10 to 37. We see that 3 \times 10 = 30 is the nearest. Now subtract 30 from 37 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{10)}053\phantom{6}\\10\overline{)5378}\\\phantom{10)}\underline{\phantom{}50\phantom{99}}\\\phantom{10)9}37\\\phantom{10)}\underline{\phantom{9}30\phantom{9}}\\\phantom{10)99}7\\\end{array}$$

Use the 4^{th} digit 8 from dividend 5378

$$\begin{array}{l}\phantom{10)}053\phantom{7}\\10\overline{)5378}\\\phantom{10)}\underline{\phantom{}50\phantom{99}}\\\phantom{10)9}37\\\phantom{10)}\underline{\phantom{9}30\phantom{9}}\\\phantom{10)99}78\\\end{array}$$

Find closest multiple of 10 to 78. We see that 7 \times 10 = 70 is the nearest. Now subtract 70 from 78 to get reminder 8. Add 7 to quotient.

$$\begin{array}{l}\phantom{10)}0537\phantom{8}\\10\overline{)5378}\\\phantom{10)}\underline{\phantom{}50\phantom{99}}\\\phantom{10)9}37\\\phantom{10)}\underline{\phantom{9}30\phantom{9}}\\\phantom{10)99}78\\\phantom{10)}\underline{\phantom{99}70\phantom{}}\\\phantom{10)999}8\\\end{array}$$

Since 8 is less than 10, stop the division. The reminder is 8. The topmost line 0537 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 537.

$$\text{Quotient: }537 \text{Reminder: }8$$

Factor

$$\frac{2689}{5} = 537\frac{4}{5} = 537.8$$