Solve 4468/1309

$$\frac{ 4468 }{ 1309 }$$

Evaluate

$$\frac{4468}{1309}\approx 3.41329259$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4468

$$\begin{array}{l}\phantom{1309)}\phantom{1}\\1309\overline{)4468}\\\end{array}$$

Since 4 is less than 1309, use the next digit 4 from dividend 4468 and add 0 to the quotient

$$\begin{array}{l}\phantom{1309)}0\phantom{2}\\1309\overline{)4468}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 4468

$$\begin{array}{l}\phantom{1309)}0\phantom{3}\\1309\overline{)4468}\\\end{array}$$

Since 44 is less than 1309, use the next digit 6 from dividend 4468 and add 0 to the quotient

$$\begin{array}{l}\phantom{1309)}00\phantom{4}\\1309\overline{)4468}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 4468

$$\begin{array}{l}\phantom{1309)}00\phantom{5}\\1309\overline{)4468}\\\end{array}$$

Since 446 is less than 1309, use the next digit 8 from dividend 4468 and add 0 to the quotient

$$\begin{array}{l}\phantom{1309)}000\phantom{6}\\1309\overline{)4468}\\\end{array}$$

Use the 4^{th} digit 8 from dividend 4468

$$\begin{array}{l}\phantom{1309)}000\phantom{7}\\1309\overline{)4468}\\\end{array}$$

Find closest multiple of 1309 to 4468. We see that 3 \times 1309 = 3927 is the nearest. Now subtract 3927 from 4468 to get reminder 541. Add 3 to quotient.

$$\begin{array}{l}\phantom{1309)}0003\phantom{8}\\1309\overline{)4468}\\\phantom{1309)}\underline{\phantom{}3927\phantom{}}\\\phantom{1309)9}541\\\end{array}$$

Since 541 is less than 1309, stop the division. The reminder is 541. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }541$$

Factor

$$\frac{2 ^ {2} \cdot 1117}{7 \cdot 11 \cdot 17} = 3\frac{541}{1309} = 3.413292589763178$$