Solve 532/415

$$\frac { 532 } { 415 }$$

Evaluate

$$\frac{532}{415}\approx 1.281927711$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 532

$$\begin{array}{l}\phantom{415)}\phantom{1}\\415\overline{)532}\\\end{array}$$

Since 5 is less than 415, use the next digit 3 from dividend 532 and add 0 to the quotient

$$\begin{array}{l}\phantom{415)}0\phantom{2}\\415\overline{)532}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 532

$$\begin{array}{l}\phantom{415)}0\phantom{3}\\415\overline{)532}\\\end{array}$$

Since 53 is less than 415, use the next digit 2 from dividend 532 and add 0 to the quotient

$$\begin{array}{l}\phantom{415)}00\phantom{4}\\415\overline{)532}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 532

$$\begin{array}{l}\phantom{415)}00\phantom{5}\\415\overline{)532}\\\end{array}$$

Find closest multiple of 415 to 532. We see that 1 \times 415 = 415 is the nearest. Now subtract 415 from 532 to get reminder 117. Add 1 to quotient.

$$\begin{array}{l}\phantom{415)}001\phantom{6}\\415\overline{)532}\\\phantom{415)}\underline{\phantom{}415\phantom{}}\\\phantom{415)}117\\\end{array}$$

Since 117 is less than 415, stop the division. The reminder is 117. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }117$$

Factor

$$\frac{2 ^ {2} \cdot 7 \cdot 19}{5 \cdot 83} = 1\frac{117}{415} = 1.2819277108433735$$