Solve 345div72=

$$345 \div 72=$$

Evaluate

$$\frac{115}{24}\approx 4.791666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 345

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)345}\\\end{array}$$

Since 3 is less than 72, use the next digit 4 from dividend 345 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)345}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 345

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)345}\\\end{array}$$

Since 34 is less than 72, use the next digit 5 from dividend 345 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)345}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 345

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)345}\\\end{array}$$

Find closest multiple of 72 to 345. We see that 4 \times 72 = 288 is the nearest. Now subtract 288 from 345 to get reminder 57. Add 4 to quotient.

$$\begin{array}{l}\phantom{72)}004\phantom{6}\\72\overline{)345}\\\phantom{72)}\underline{\phantom{}288\phantom{}}\\\phantom{72)9}57\\\end{array}$$

Since 57 is less than 72, stop the division. The reminder is 57. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }57$$

Factor

$$\frac{5 \cdot 23}{2 ^ {3} \cdot 3} = 4\frac{19}{24} = 4.791666666666667$$