Solve 57,131:47

$$57,131 : 47$$

Evaluate

$$\frac{57131}{47}\approx 1215.553191489$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 57131

$$\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)57131}\\\end{array}$$

Since 5 is less than 47, use the next digit 7 from dividend 57131 and add 0 to the quotient

$$\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)57131}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 57131

$$\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)57131}\\\end{array}$$

Find closest multiple of 47 to 57. We see that 1 \times 47 = 47 is the nearest. Now subtract 47 from 57 to get reminder 10. Add 1 to quotient.

$$\begin{array}{l}\phantom{47)}01\phantom{4}\\47\overline{)57131}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)}10\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 57131

$$\begin{array}{l}\phantom{47)}01\phantom{5}\\47\overline{)57131}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)}101\\\end{array}$$

Find closest multiple of 47 to 101. We see that 2 \times 47 = 94 is the nearest. Now subtract 94 from 101 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{47)}012\phantom{6}\\47\overline{)57131}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)}101\\\phantom{47)}\underline{\phantom{9}94\phantom{99}}\\\phantom{47)99}7\\\end{array}$$

Use the 4^{th} digit 3 from dividend 57131

$$\begin{array}{l}\phantom{47)}012\phantom{7}\\47\overline{)57131}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)}101\\\phantom{47)}\underline{\phantom{9}94\phantom{99}}\\\phantom{47)99}73\\\end{array}$$

Find closest multiple of 47 to 73. We see that 1 \times 47 = 47 is the nearest. Now subtract 47 from 73 to get reminder 26. Add 1 to quotient.

$$\begin{array}{l}\phantom{47)}0121\phantom{8}\\47\overline{)57131}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)}101\\\phantom{47)}\underline{\phantom{9}94\phantom{99}}\\\phantom{47)99}73\\\phantom{47)}\underline{\phantom{99}47\phantom{9}}\\\phantom{47)99}26\\\end{array}$$

Use the 5^{th} digit 1 from dividend 57131

$$\begin{array}{l}\phantom{47)}0121\phantom{9}\\47\overline{)57131}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)}101\\\phantom{47)}\underline{\phantom{9}94\phantom{99}}\\\phantom{47)99}73\\\phantom{47)}\underline{\phantom{99}47\phantom{9}}\\\phantom{47)99}261\\\end{array}$$

Find closest multiple of 47 to 261. We see that 5 \times 47 = 235 is the nearest. Now subtract 235 from 261 to get reminder 26. Add 5 to quotient.

$$\begin{array}{l}\phantom{47)}01215\phantom{10}\\47\overline{)57131}\\\phantom{47)}\underline{\phantom{}47\phantom{999}}\\\phantom{47)}101\\\phantom{47)}\underline{\phantom{9}94\phantom{99}}\\\phantom{47)99}73\\\phantom{47)}\underline{\phantom{99}47\phantom{9}}\\\phantom{47)99}261\\\phantom{47)}\underline{\phantom{99}235\phantom{}}\\\phantom{47)999}26\\\end{array}$$

Since 26 is less than 47, stop the division. The reminder is 26. The topmost line 01215 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1215.

$$\text{Quotient: }1215 \text{Reminder: }26$$

Factor

$$\frac{57131}{47} = 1215\frac{26}{47} = 1215.5531914893618$$