Solve 1254865div1253

$$1254865 \div 1253$$

Evaluate

$$\frac{1254865}{1253}\approx 1001.488427773$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1254865

$$\begin{array}{l}\phantom{1253)}\phantom{1}\\1253\overline{)1254865}\\\end{array}$$

Since 1 is less than 1253, use the next digit 2 from dividend 1254865 and add 0 to the quotient

$$\begin{array}{l}\phantom{1253)}0\phantom{2}\\1253\overline{)1254865}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1254865

$$\begin{array}{l}\phantom{1253)}0\phantom{3}\\1253\overline{)1254865}\\\end{array}$$

Since 12 is less than 1253, use the next digit 5 from dividend 1254865 and add 0 to the quotient

$$\begin{array}{l}\phantom{1253)}00\phantom{4}\\1253\overline{)1254865}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1254865

$$\begin{array}{l}\phantom{1253)}00\phantom{5}\\1253\overline{)1254865}\\\end{array}$$

Since 125 is less than 1253, use the next digit 4 from dividend 1254865 and add 0 to the quotient

$$\begin{array}{l}\phantom{1253)}000\phantom{6}\\1253\overline{)1254865}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1254865

$$\begin{array}{l}\phantom{1253)}000\phantom{7}\\1253\overline{)1254865}\\\end{array}$$

Find closest multiple of 1253 to 1254. We see that 1 \times 1253 = 1253 is the nearest. Now subtract 1253 from 1254 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{1253)}0001\phantom{8}\\1253\overline{)1254865}\\\phantom{1253)}\underline{\phantom{}1253\phantom{999}}\\\phantom{1253)999}1\\\end{array}$$

Use the 5^{th} digit 8 from dividend 1254865

$$\begin{array}{l}\phantom{1253)}0001\phantom{9}\\1253\overline{)1254865}\\\phantom{1253)}\underline{\phantom{}1253\phantom{999}}\\\phantom{1253)999}18\\\end{array}$$

Since 18 is less than 1253, use the next digit 6 from dividend 1254865 and add 0 to the quotient

$$\begin{array}{l}\phantom{1253)}00010\phantom{10}\\1253\overline{)1254865}\\\phantom{1253)}\underline{\phantom{}1253\phantom{999}}\\\phantom{1253)999}18\\\end{array}$$

Use the 6^{th} digit 6 from dividend 1254865

$$\begin{array}{l}\phantom{1253)}00010\phantom{11}\\1253\overline{)1254865}\\\phantom{1253)}\underline{\phantom{}1253\phantom{999}}\\\phantom{1253)999}186\\\end{array}$$

Since 186 is less than 1253, use the next digit 5 from dividend 1254865 and add 0 to the quotient

$$\begin{array}{l}\phantom{1253)}000100\phantom{12}\\1253\overline{)1254865}\\\phantom{1253)}\underline{\phantom{}1253\phantom{999}}\\\phantom{1253)999}186\\\end{array}$$

Use the 7^{th} digit 5 from dividend 1254865

$$\begin{array}{l}\phantom{1253)}000100\phantom{13}\\1253\overline{)1254865}\\\phantom{1253)}\underline{\phantom{}1253\phantom{999}}\\\phantom{1253)999}1865\\\end{array}$$

Find closest multiple of 1253 to 1865. We see that 1 \times 1253 = 1253 is the nearest. Now subtract 1253 from 1865 to get reminder 612. Add 1 to quotient.

$$\begin{array}{l}\phantom{1253)}0001001\phantom{14}\\1253\overline{)1254865}\\\phantom{1253)}\underline{\phantom{}1253\phantom{999}}\\\phantom{1253)999}1865\\\phantom{1253)}\underline{\phantom{999}1253\phantom{}}\\\phantom{1253)9999}612\\\end{array}$$

Since 612 is less than 1253, stop the division. The reminder is 612. The topmost line 0001001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1001.

$$\text{Quotient: }1001 \text{Reminder: }612$$

Factor

$$\frac{5 \cdot 113 \cdot 2221}{7 \cdot 179} = 1001\frac{612}{1253} = 1001.488427773344$$