Solve 5000div1256

$$5000 \div 1256$$

Evaluate

$$\frac{625}{157}\approx 3.98089172$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5000

$$\begin{array}{l}\phantom{1256)}\phantom{1}\\1256\overline{)5000}\\\end{array}$$

Since 5 is less than 1256, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1256)}0\phantom{2}\\1256\overline{)5000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{1256)}0\phantom{3}\\1256\overline{)5000}\\\end{array}$$

Since 50 is less than 1256, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1256)}00\phantom{4}\\1256\overline{)5000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{1256)}00\phantom{5}\\1256\overline{)5000}\\\end{array}$$

Since 500 is less than 1256, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1256)}000\phantom{6}\\1256\overline{)5000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{1256)}000\phantom{7}\\1256\overline{)5000}\\\end{array}$$

Find closest multiple of 1256 to 5000. We see that 3 \times 1256 = 3768 is the nearest. Now subtract 3768 from 5000 to get reminder 1232. Add 3 to quotient.

$$\begin{array}{l}\phantom{1256)}0003\phantom{8}\\1256\overline{)5000}\\\phantom{1256)}\underline{\phantom{}3768\phantom{}}\\\phantom{1256)}1232\\\end{array}$$

Since 1232 is less than 1256, stop the division. The reminder is 1232. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }1232$$

Factor

$$\frac{5 ^ {4}}{157} = 3\frac{154}{157} = 3.9808917197452227$$