Solve 6624div149

$$6624 \div 149$$

Evaluate

$$\frac{6624}{149}\approx 44.456375839$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6624

$$\begin{array}{l}\phantom{149)}\phantom{1}\\149\overline{)6624}\\\end{array}$$

Since 6 is less than 149, use the next digit 6 from dividend 6624 and add 0 to the quotient

$$\begin{array}{l}\phantom{149)}0\phantom{2}\\149\overline{)6624}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 6624

$$\begin{array}{l}\phantom{149)}0\phantom{3}\\149\overline{)6624}\\\end{array}$$

Since 66 is less than 149, use the next digit 2 from dividend 6624 and add 0 to the quotient

$$\begin{array}{l}\phantom{149)}00\phantom{4}\\149\overline{)6624}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 6624

$$\begin{array}{l}\phantom{149)}00\phantom{5}\\149\overline{)6624}\\\end{array}$$

Find closest multiple of 149 to 662. We see that 4 \times 149 = 596 is the nearest. Now subtract 596 from 662 to get reminder 66. Add 4 to quotient.

$$\begin{array}{l}\phantom{149)}004\phantom{6}\\149\overline{)6624}\\\phantom{149)}\underline{\phantom{}596\phantom{9}}\\\phantom{149)9}66\\\end{array}$$

Use the 4^{th} digit 4 from dividend 6624

$$\begin{array}{l}\phantom{149)}004\phantom{7}\\149\overline{)6624}\\\phantom{149)}\underline{\phantom{}596\phantom{9}}\\\phantom{149)9}664\\\end{array}$$

Find closest multiple of 149 to 664. We see that 4 \times 149 = 596 is the nearest. Now subtract 596 from 664 to get reminder 68. Add 4 to quotient.

$$\begin{array}{l}\phantom{149)}0044\phantom{8}\\149\overline{)6624}\\\phantom{149)}\underline{\phantom{}596\phantom{9}}\\\phantom{149)9}664\\\phantom{149)}\underline{\phantom{9}596\phantom{}}\\\phantom{149)99}68\\\end{array}$$

Since 68 is less than 149, stop the division. The reminder is 68. The topmost line 0044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }68$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {2} \cdot 23}{149} = 44\frac{68}{149} = 44.45637583892618$$