Solve 633/+399

$$\frac { 633 } { + 399 }$$

Evaluate

$$\frac{211}{133}\approx 1.586466165$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 633

$$\begin{array}{l}\phantom{399)}\phantom{1}\\399\overline{)633}\\\end{array}$$

Since 6 is less than 399, use the next digit 3 from dividend 633 and add 0 to the quotient

$$\begin{array}{l}\phantom{399)}0\phantom{2}\\399\overline{)633}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 633

$$\begin{array}{l}\phantom{399)}0\phantom{3}\\399\overline{)633}\\\end{array}$$

Since 63 is less than 399, use the next digit 3 from dividend 633 and add 0 to the quotient

$$\begin{array}{l}\phantom{399)}00\phantom{4}\\399\overline{)633}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 633

$$\begin{array}{l}\phantom{399)}00\phantom{5}\\399\overline{)633}\\\end{array}$$

Find closest multiple of 399 to 633. We see that 1 \times 399 = 399 is the nearest. Now subtract 399 from 633 to get reminder 234. Add 1 to quotient.

$$\begin{array}{l}\phantom{399)}001\phantom{6}\\399\overline{)633}\\\phantom{399)}\underline{\phantom{}399\phantom{}}\\\phantom{399)}234\\\end{array}$$

Since 234 is less than 399, stop the division. The reminder is 234. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }234$$

Factor

$$\frac{211}{7 \cdot 19} = 1\frac{78}{133} = 1.586466165413534$$