Solve 60014/4624

$$\frac { 60014 } { 4624 }$$

Evaluate

$$\frac{30007}{2312}\approx 12.978806228$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 60014

$$\begin{array}{l}\phantom{4624)}\phantom{1}\\4624\overline{)60014}\\\end{array}$$

Since 6 is less than 4624, use the next digit 0 from dividend 60014 and add 0 to the quotient

$$\begin{array}{l}\phantom{4624)}0\phantom{2}\\4624\overline{)60014}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 60014

$$\begin{array}{l}\phantom{4624)}0\phantom{3}\\4624\overline{)60014}\\\end{array}$$

Since 60 is less than 4624, use the next digit 0 from dividend 60014 and add 0 to the quotient

$$\begin{array}{l}\phantom{4624)}00\phantom{4}\\4624\overline{)60014}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 60014

$$\begin{array}{l}\phantom{4624)}00\phantom{5}\\4624\overline{)60014}\\\end{array}$$

Since 600 is less than 4624, use the next digit 1 from dividend 60014 and add 0 to the quotient

$$\begin{array}{l}\phantom{4624)}000\phantom{6}\\4624\overline{)60014}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 60014

$$\begin{array}{l}\phantom{4624)}000\phantom{7}\\4624\overline{)60014}\\\end{array}$$

Find closest multiple of 4624 to 6001. We see that 1 \times 4624 = 4624 is the nearest. Now subtract 4624 from 6001 to get reminder 1377. Add 1 to quotient.

$$\begin{array}{l}\phantom{4624)}0001\phantom{8}\\4624\overline{)60014}\\\phantom{4624)}\underline{\phantom{}4624\phantom{9}}\\\phantom{4624)}1377\\\end{array}$$

Use the 5^{th} digit 4 from dividend 60014

$$\begin{array}{l}\phantom{4624)}0001\phantom{9}\\4624\overline{)60014}\\\phantom{4624)}\underline{\phantom{}4624\phantom{9}}\\\phantom{4624)}13774\\\end{array}$$

Find closest multiple of 4624 to 13774. We see that 2 \times 4624 = 9248 is the nearest. Now subtract 9248 from 13774 to get reminder 4526. Add 2 to quotient.

$$\begin{array}{l}\phantom{4624)}00012\phantom{10}\\4624\overline{)60014}\\\phantom{4624)}\underline{\phantom{}4624\phantom{9}}\\\phantom{4624)}13774\\\phantom{4624)}\underline{\phantom{9}9248\phantom{}}\\\phantom{4624)9}4526\\\end{array}$$

Since 4526 is less than 4624, stop the division. The reminder is 4526. The topmost line 00012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }4526$$

Factor

$$\frac{37 \cdot 811}{2 ^ {3} \cdot 17 ^ {2}} = 12\frac{2263}{2312} = 12.978806228373703$$