Solve 7519div616

$$7519 \div 616$$

Evaluate

$$\frac{7519}{616}\approx 12.206168831$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7519

$$\begin{array}{l}\phantom{616)}\phantom{1}\\616\overline{)7519}\\\end{array}$$

Since 7 is less than 616, use the next digit 5 from dividend 7519 and add 0 to the quotient

$$\begin{array}{l}\phantom{616)}0\phantom{2}\\616\overline{)7519}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 7519

$$\begin{array}{l}\phantom{616)}0\phantom{3}\\616\overline{)7519}\\\end{array}$$

Since 75 is less than 616, use the next digit 1 from dividend 7519 and add 0 to the quotient

$$\begin{array}{l}\phantom{616)}00\phantom{4}\\616\overline{)7519}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 7519

$$\begin{array}{l}\phantom{616)}00\phantom{5}\\616\overline{)7519}\\\end{array}$$

Find closest multiple of 616 to 751. We see that 1 \times 616 = 616 is the nearest. Now subtract 616 from 751 to get reminder 135. Add 1 to quotient.

$$\begin{array}{l}\phantom{616)}001\phantom{6}\\616\overline{)7519}\\\phantom{616)}\underline{\phantom{}616\phantom{9}}\\\phantom{616)}135\\\end{array}$$

Use the 4^{th} digit 9 from dividend 7519

$$\begin{array}{l}\phantom{616)}001\phantom{7}\\616\overline{)7519}\\\phantom{616)}\underline{\phantom{}616\phantom{9}}\\\phantom{616)}1359\\\end{array}$$

Find closest multiple of 616 to 1359. We see that 2 \times 616 = 1232 is the nearest. Now subtract 1232 from 1359 to get reminder 127. Add 2 to quotient.

$$\begin{array}{l}\phantom{616)}0012\phantom{8}\\616\overline{)7519}\\\phantom{616)}\underline{\phantom{}616\phantom{9}}\\\phantom{616)}1359\\\phantom{616)}\underline{\phantom{}1232\phantom{}}\\\phantom{616)9}127\\\end{array}$$

Since 127 is less than 616, stop the division. The reminder is 127. The topmost line 0012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }127$$

Factor

$$\frac{73 \cdot 103}{2 ^ {3} \cdot 7 \cdot 11} = 12\frac{127}{616} = 12.206168831168831$$