Solve 1216div761

$$1216 \div 761$$

Evaluate

$$\frac{1216}{761}\approx 1.597897503$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1216

$$\begin{array}{l}\phantom{761)}\phantom{1}\\761\overline{)1216}\\\end{array}$$

Since 1 is less than 761, use the next digit 2 from dividend 1216 and add 0 to the quotient

$$\begin{array}{l}\phantom{761)}0\phantom{2}\\761\overline{)1216}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1216

$$\begin{array}{l}\phantom{761)}0\phantom{3}\\761\overline{)1216}\\\end{array}$$

Since 12 is less than 761, use the next digit 1 from dividend 1216 and add 0 to the quotient

$$\begin{array}{l}\phantom{761)}00\phantom{4}\\761\overline{)1216}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1216

$$\begin{array}{l}\phantom{761)}00\phantom{5}\\761\overline{)1216}\\\end{array}$$

Since 121 is less than 761, use the next digit 6 from dividend 1216 and add 0 to the quotient

$$\begin{array}{l}\phantom{761)}000\phantom{6}\\761\overline{)1216}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1216

$$\begin{array}{l}\phantom{761)}000\phantom{7}\\761\overline{)1216}\\\end{array}$$

Find closest multiple of 761 to 1216. We see that 1 \times 761 = 761 is the nearest. Now subtract 761 from 1216 to get reminder 455. Add 1 to quotient.

$$\begin{array}{l}\phantom{761)}0001\phantom{8}\\761\overline{)1216}\\\phantom{761)}\underline{\phantom{9}761\phantom{}}\\\phantom{761)9}455\\\end{array}$$

Since 455 is less than 761, stop the division. The reminder is 455. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }455$$

Factor

$$\frac{2 ^ {6} \cdot 19}{761} = 1\frac{455}{761} = 1.597897503285151$$