Solve 1279div752

$$1279 \div 752$$

Evaluate

$$\frac{1279}{752}\approx 1.700797872$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1279

$$\begin{array}{l}\phantom{752)}\phantom{1}\\752\overline{)1279}\\\end{array}$$

Since 1 is less than 752, use the next digit 2 from dividend 1279 and add 0 to the quotient

$$\begin{array}{l}\phantom{752)}0\phantom{2}\\752\overline{)1279}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1279

$$\begin{array}{l}\phantom{752)}0\phantom{3}\\752\overline{)1279}\\\end{array}$$

Since 12 is less than 752, use the next digit 7 from dividend 1279 and add 0 to the quotient

$$\begin{array}{l}\phantom{752)}00\phantom{4}\\752\overline{)1279}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1279

$$\begin{array}{l}\phantom{752)}00\phantom{5}\\752\overline{)1279}\\\end{array}$$

Since 127 is less than 752, use the next digit 9 from dividend 1279 and add 0 to the quotient

$$\begin{array}{l}\phantom{752)}000\phantom{6}\\752\overline{)1279}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1279

$$\begin{array}{l}\phantom{752)}000\phantom{7}\\752\overline{)1279}\\\end{array}$$

Find closest multiple of 752 to 1279. We see that 1 \times 752 = 752 is the nearest. Now subtract 752 from 1279 to get reminder 527. Add 1 to quotient.

$$\begin{array}{l}\phantom{752)}0001\phantom{8}\\752\overline{)1279}\\\phantom{752)}\underline{\phantom{9}752\phantom{}}\\\phantom{752)9}527\\\end{array}$$

Since 527 is less than 752, stop the division. The reminder is 527. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }527$$

Factor

$$\frac{1279}{2 ^ {4} \cdot 47} = 1\frac{527}{752} = 1.7007978723404256$$