Solve 5025/4024

$$\frac{ 5025 }{ 4024 }$$

Evaluate

$$\frac{5025}{4024}\approx 1.248757455$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5025

$$\begin{array}{l}\phantom{4024)}\phantom{1}\\4024\overline{)5025}\\\end{array}$$

Since 5 is less than 4024, use the next digit 0 from dividend 5025 and add 0 to the quotient

$$\begin{array}{l}\phantom{4024)}0\phantom{2}\\4024\overline{)5025}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 5025

$$\begin{array}{l}\phantom{4024)}0\phantom{3}\\4024\overline{)5025}\\\end{array}$$

Since 50 is less than 4024, use the next digit 2 from dividend 5025 and add 0 to the quotient

$$\begin{array}{l}\phantom{4024)}00\phantom{4}\\4024\overline{)5025}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 5025

$$\begin{array}{l}\phantom{4024)}00\phantom{5}\\4024\overline{)5025}\\\end{array}$$

Since 502 is less than 4024, use the next digit 5 from dividend 5025 and add 0 to the quotient

$$\begin{array}{l}\phantom{4024)}000\phantom{6}\\4024\overline{)5025}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 5025

$$\begin{array}{l}\phantom{4024)}000\phantom{7}\\4024\overline{)5025}\\\end{array}$$

Find closest multiple of 4024 to 5025. We see that 1 \times 4024 = 4024 is the nearest. Now subtract 4024 from 5025 to get reminder 1001. Add 1 to quotient.

$$\begin{array}{l}\phantom{4024)}0001\phantom{8}\\4024\overline{)5025}\\\phantom{4024)}\underline{\phantom{}4024\phantom{}}\\\phantom{4024)}1001\\\end{array}$$

Since 1001 is less than 4024, stop the division. The reminder is 1001. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1001$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 67}{2 ^ {3} \cdot 503} = 1\frac{1001}{4024} = 1.2487574552683898$$