Solve 5752div4416

$$5752 \div 4416$$

Evaluate

$$\frac{719}{552}\approx 1.302536232$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5752

$$\begin{array}{l}\phantom{4416)}\phantom{1}\\4416\overline{)5752}\\\end{array}$$

Since 5 is less than 4416, use the next digit 7 from dividend 5752 and add 0 to the quotient

$$\begin{array}{l}\phantom{4416)}0\phantom{2}\\4416\overline{)5752}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 5752

$$\begin{array}{l}\phantom{4416)}0\phantom{3}\\4416\overline{)5752}\\\end{array}$$

Since 57 is less than 4416, use the next digit 5 from dividend 5752 and add 0 to the quotient

$$\begin{array}{l}\phantom{4416)}00\phantom{4}\\4416\overline{)5752}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 5752

$$\begin{array}{l}\phantom{4416)}00\phantom{5}\\4416\overline{)5752}\\\end{array}$$

Since 575 is less than 4416, use the next digit 2 from dividend 5752 and add 0 to the quotient

$$\begin{array}{l}\phantom{4416)}000\phantom{6}\\4416\overline{)5752}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 5752

$$\begin{array}{l}\phantom{4416)}000\phantom{7}\\4416\overline{)5752}\\\end{array}$$

Find closest multiple of 4416 to 5752. We see that 1 \times 4416 = 4416 is the nearest. Now subtract 4416 from 5752 to get reminder 1336. Add 1 to quotient.

$$\begin{array}{l}\phantom{4416)}0001\phantom{8}\\4416\overline{)5752}\\\phantom{4416)}\underline{\phantom{}4416\phantom{}}\\\phantom{4416)}1336\\\end{array}$$

Since 1336 is less than 4416, stop the division. The reminder is 1336. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1336$$

Factor

$$\frac{719}{2 ^ {3} \cdot 3 \cdot 23} = 1\frac{167}{552} = 1.3025362318840579$$