Solve 74464div60

$$74464 \div 60$$

Evaluate

$$\frac{18616}{15}\approx 1241.066666667$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 74464

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)74464}\\\end{array}$$

Since 7 is less than 60, use the next digit 4 from dividend 74464 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)74464}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 74464

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)74464}\\\end{array}$$

Find closest multiple of 60 to 74. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 74 to get reminder 14. Add 1 to quotient.

$$\begin{array}{l}\phantom{60)}01\phantom{4}\\60\overline{)74464}\\\phantom{60)}\underline{\phantom{}60\phantom{999}}\\\phantom{60)}14\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 74464

$$\begin{array}{l}\phantom{60)}01\phantom{5}\\60\overline{)74464}\\\phantom{60)}\underline{\phantom{}60\phantom{999}}\\\phantom{60)}144\\\end{array}$$

Find closest multiple of 60 to 144. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 144 to get reminder 24. Add 2 to quotient.

$$\begin{array}{l}\phantom{60)}012\phantom{6}\\60\overline{)74464}\\\phantom{60)}\underline{\phantom{}60\phantom{999}}\\\phantom{60)}144\\\phantom{60)}\underline{\phantom{}120\phantom{99}}\\\phantom{60)9}24\\\end{array}$$

Use the 4^{th} digit 6 from dividend 74464

$$\begin{array}{l}\phantom{60)}012\phantom{7}\\60\overline{)74464}\\\phantom{60)}\underline{\phantom{}60\phantom{999}}\\\phantom{60)}144\\\phantom{60)}\underline{\phantom{}120\phantom{99}}\\\phantom{60)9}246\\\end{array}$$

Find closest multiple of 60 to 246. We see that 4 \times 60 = 240 is the nearest. Now subtract 240 from 246 to get reminder 6. Add 4 to quotient.

$$\begin{array}{l}\phantom{60)}0124\phantom{8}\\60\overline{)74464}\\\phantom{60)}\underline{\phantom{}60\phantom{999}}\\\phantom{60)}144\\\phantom{60)}\underline{\phantom{}120\phantom{99}}\\\phantom{60)9}246\\\phantom{60)}\underline{\phantom{9}240\phantom{9}}\\\phantom{60)999}6\\\end{array}$$

Use the 5^{th} digit 4 from dividend 74464

$$\begin{array}{l}\phantom{60)}0124\phantom{9}\\60\overline{)74464}\\\phantom{60)}\underline{\phantom{}60\phantom{999}}\\\phantom{60)}144\\\phantom{60)}\underline{\phantom{}120\phantom{99}}\\\phantom{60)9}246\\\phantom{60)}\underline{\phantom{9}240\phantom{9}}\\\phantom{60)999}64\\\end{array}$$

Find closest multiple of 60 to 64. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 64 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{60)}01241\phantom{10}\\60\overline{)74464}\\\phantom{60)}\underline{\phantom{}60\phantom{999}}\\\phantom{60)}144\\\phantom{60)}\underline{\phantom{}120\phantom{99}}\\\phantom{60)9}246\\\phantom{60)}\underline{\phantom{9}240\phantom{9}}\\\phantom{60)999}64\\\phantom{60)}\underline{\phantom{999}60\phantom{}}\\\phantom{60)9999}4\\\end{array}$$

Since 4 is less than 60, stop the division. The reminder is 4. The topmost line 01241 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1241.

$$\text{Quotient: }1241 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {3} \cdot 13 \cdot 179}{3 \cdot 5} = 1241\frac{1}{15} = 1241.0666666666666$$