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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 855 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.18219 ÷ 97 =
  2. 2.35126 ÷ 88 =
  3. 3.175828 ÷ 989 =
  4. 4.5874 ÷ 8 =
  5. 5.37309 ÷ 98 =
  6. 6.1096 ÷ 8 =
  7. 7.728949 ÷ 897 =
  8. 8.92067 ÷ 89 =
  9. 9.93803 ÷ 88 =
  10. 10.302291 ÷ 997 =
  11. 11.970212 ÷ 989 =
  12. 12.63154 ÷ 97 =
  13. 13.368377 ÷ 997 =
  14. 14.73556 ÷ 97 =
  15. 15.30723 ÷ 97 =
  16. 16.81163 ÷ 98 =
  17. 17.19365 ÷ 97 =
  18. 18.87073 ÷ 97 =
  19. 19.57447 ÷ 998 =
  20. 20.279163 ÷ 897 =
  21. 21.548581 ÷ 989 =
  22. 22.12375 ÷ 97 =
  23. 23.52834 ÷ 96 =
  24. 24.50015 ÷ 88 =
  25. 25.48435 ÷ 96 =
  26. 26.202124 ÷ 997 =
  27. 27.60184 ÷ 98 =
  28. 28.390982 ÷ 988 =
  29. 29.51039 ÷ 89 =
  30. 30.25160 ÷ 96 =
  31. 31.919966 ÷ 988 =
  32. 32.364444 ÷ 988 =
  33. 33.614964 ÷ 897 =
  34. 34.97031 ÷ 96 =
  35. 35.184854 ÷ 997 =
  36. 36.410653 ÷ 988 =
  37. 37.32009 ÷ 96 =
  38. 38.6581 ÷ 8 =
  39. 39.83833 ÷ 98 =
  40. 40.65821 ÷ 89 =

Answer key

  1. 187 rem 80
  2. 399 rem 14
  3. 177 rem 775
  4. 734 rem 2
  5. 380 rem 69
  6. 137 rem 0
  7. 812 rem 585
  8. 1034 rem 41
  9. 1065 rem 83
  10. 303 rem 200
  11. 981 rem 3
  12. 651 rem 7
  13. 369 rem 484
  14. 758 rem 30
  15. 316 rem 71
  16. 828 rem 19
  17. 199 rem 62
  18. 897 rem 64
  19. 57 rem 561
  20. 311 rem 196
  21. 554 rem 675
  22. 127 rem 56
  23. 550 rem 34
  24. 568 rem 31
  25. 504 rem 51
  26. 202 rem 730
  27. 614 rem 12
  28. 395 rem 722
  29. 573 rem 42
  30. 262 rem 8
  31. 931 rem 138
  32. 368 rem 860
  33. 685 rem 519
  34. 1010 rem 71
  35. 185 rem 409
  36. 415 rem 633
  37. 333 rem 41
  38. 822 rem 5
  39. 855 rem 43
  40. 739 rem 50

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