Solve 5674/74

$$\frac { 5674 } { 74 }$$

Evaluate

$$\frac{2837}{37}\approx 76.675675676$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5674

$$\begin{array}{l}\phantom{74)}\phantom{1}\\74\overline{)5674}\\\end{array}$$

Since 5 is less than 74, use the next digit 6 from dividend 5674 and add 0 to the quotient

$$\begin{array}{l}\phantom{74)}0\phantom{2}\\74\overline{)5674}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 5674

$$\begin{array}{l}\phantom{74)}0\phantom{3}\\74\overline{)5674}\\\end{array}$$

Since 56 is less than 74, use the next digit 7 from dividend 5674 and add 0 to the quotient

$$\begin{array}{l}\phantom{74)}00\phantom{4}\\74\overline{)5674}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 5674

$$\begin{array}{l}\phantom{74)}00\phantom{5}\\74\overline{)5674}\\\end{array}$$

Find closest multiple of 74 to 567. We see that 7 \times 74 = 518 is the nearest. Now subtract 518 from 567 to get reminder 49. Add 7 to quotient.

$$\begin{array}{l}\phantom{74)}007\phantom{6}\\74\overline{)5674}\\\phantom{74)}\underline{\phantom{}518\phantom{9}}\\\phantom{74)9}49\\\end{array}$$

Use the 4^{th} digit 4 from dividend 5674

$$\begin{array}{l}\phantom{74)}007\phantom{7}\\74\overline{)5674}\\\phantom{74)}\underline{\phantom{}518\phantom{9}}\\\phantom{74)9}494\\\end{array}$$

Find closest multiple of 74 to 494. We see that 6 \times 74 = 444 is the nearest. Now subtract 444 from 494 to get reminder 50. Add 6 to quotient.

$$\begin{array}{l}\phantom{74)}0076\phantom{8}\\74\overline{)5674}\\\phantom{74)}\underline{\phantom{}518\phantom{9}}\\\phantom{74)9}494\\\phantom{74)}\underline{\phantom{9}444\phantom{}}\\\phantom{74)99}50\\\end{array}$$

Since 50 is less than 74, stop the division. The reminder is 50. The topmost line 0076 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 76.

$$\text{Quotient: }76 \text{Reminder: }50$$

Factor

$$\frac{2837}{37} = 76\frac{25}{37} = 76.67567567567568$$