Solve 945div275

$$945 \div 275$$

Evaluate

$$\frac{189}{55}\approx 3.436363636$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 945

$$\begin{array}{l}\phantom{275)}\phantom{1}\\275\overline{)945}\\\end{array}$$

Since 9 is less than 275, use the next digit 4 from dividend 945 and add 0 to the quotient

$$\begin{array}{l}\phantom{275)}0\phantom{2}\\275\overline{)945}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 945

$$\begin{array}{l}\phantom{275)}0\phantom{3}\\275\overline{)945}\\\end{array}$$

Since 94 is less than 275, use the next digit 5 from dividend 945 and add 0 to the quotient

$$\begin{array}{l}\phantom{275)}00\phantom{4}\\275\overline{)945}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 945

$$\begin{array}{l}\phantom{275)}00\phantom{5}\\275\overline{)945}\\\end{array}$$

Find closest multiple of 275 to 945. We see that 3 \times 275 = 825 is the nearest. Now subtract 825 from 945 to get reminder 120. Add 3 to quotient.

$$\begin{array}{l}\phantom{275)}003\phantom{6}\\275\overline{)945}\\\phantom{275)}\underline{\phantom{}825\phantom{}}\\\phantom{275)}120\\\end{array}$$

Since 120 is less than 275, stop the division. The reminder is 120. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }120$$

Factor

$$\frac{3 ^ {3} \cdot 7}{5 \cdot 11} = 3\frac{24}{55} \approx 3.436363636$$