Solve 5673/14

$$\frac { 5673 } { 14 }$$

Evaluate

$$\frac{5673}{14}\approx 405.214285714$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5673

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)5673}\\\end{array}$$

Since 5 is less than 14, use the next digit 6 from dividend 5673 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)5673}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 5673

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)5673}\\\end{array}$$

Find closest multiple of 14 to 56. We see that 4 \times 14 = 56 is the nearest. Now subtract 56 from 56 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{14)}04\phantom{4}\\14\overline{)5673}\\\phantom{14)}\underline{\phantom{}56\phantom{99}}\\\phantom{14)99}0\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 5673

$$\begin{array}{l}\phantom{14)}04\phantom{5}\\14\overline{)5673}\\\phantom{14)}\underline{\phantom{}56\phantom{99}}\\\phantom{14)99}7\\\end{array}$$

Since 7 is less than 14, use the next digit 3 from dividend 5673 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}040\phantom{6}\\14\overline{)5673}\\\phantom{14)}\underline{\phantom{}56\phantom{99}}\\\phantom{14)99}7\\\end{array}$$

Use the 4^{th} digit 3 from dividend 5673

$$\begin{array}{l}\phantom{14)}040\phantom{7}\\14\overline{)5673}\\\phantom{14)}\underline{\phantom{}56\phantom{99}}\\\phantom{14)99}73\\\end{array}$$

Find closest multiple of 14 to 73. We see that 5 \times 14 = 70 is the nearest. Now subtract 70 from 73 to get reminder 3. Add 5 to quotient.

$$\begin{array}{l}\phantom{14)}0405\phantom{8}\\14\overline{)5673}\\\phantom{14)}\underline{\phantom{}56\phantom{99}}\\\phantom{14)99}73\\\phantom{14)}\underline{\phantom{99}70\phantom{}}\\\phantom{14)999}3\\\end{array}$$

Since 3 is less than 14, stop the division. The reminder is 3. The topmost line 0405 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 405.

$$\text{Quotient: }405 \text{Reminder: }3$$

Factor

$$\frac{3 \cdot 31 \cdot 61}{2 \cdot 7} = 405\frac{3}{14} = 405.2142857142857$$