Solve 1061:413

$$1061 : 413$$

Evaluate

$$\frac{1061}{413}\approx 2.569007264$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1061

$$\begin{array}{l}\phantom{413)}\phantom{1}\\413\overline{)1061}\\\end{array}$$

Since 1 is less than 413, use the next digit 0 from dividend 1061 and add 0 to the quotient

$$\begin{array}{l}\phantom{413)}0\phantom{2}\\413\overline{)1061}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1061

$$\begin{array}{l}\phantom{413)}0\phantom{3}\\413\overline{)1061}\\\end{array}$$

Since 10 is less than 413, use the next digit 6 from dividend 1061 and add 0 to the quotient

$$\begin{array}{l}\phantom{413)}00\phantom{4}\\413\overline{)1061}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1061

$$\begin{array}{l}\phantom{413)}00\phantom{5}\\413\overline{)1061}\\\end{array}$$

Since 106 is less than 413, use the next digit 1 from dividend 1061 and add 0 to the quotient

$$\begin{array}{l}\phantom{413)}000\phantom{6}\\413\overline{)1061}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 1061

$$\begin{array}{l}\phantom{413)}000\phantom{7}\\413\overline{)1061}\\\end{array}$$

Find closest multiple of 413 to 1061. We see that 2 \times 413 = 826 is the nearest. Now subtract 826 from 1061 to get reminder 235. Add 2 to quotient.

$$\begin{array}{l}\phantom{413)}0002\phantom{8}\\413\overline{)1061}\\\phantom{413)}\underline{\phantom{9}826\phantom{}}\\\phantom{413)9}235\\\end{array}$$

Since 235 is less than 413, stop the division. The reminder is 235. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }235$$

Factor

$$\frac{1061}{7 \cdot 59} = 2\frac{235}{413} = 2.569007263922518$$