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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 618 · 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. 1.88876 ÷ 96 =
  2. 2.36040 ÷ 98 =
  3. 3.6195 ÷ 8 =
  4. 4.376064 ÷ 998 =
  5. 5.42376 ÷ 897 =
  6. 6.12707 ÷ 97 =
  7. 7.951207 ÷ 988 =
  8. 8.66324 ÷ 997 =
  9. 9.290781 ÷ 997 =
  10. 10.46386 ÷ 88 =
  11. 11.21737 ÷ 89 =
  12. 12.44152 ÷ 96 =
  13. 13.14610 ÷ 96 =
  14. 14.8780 ÷ 8 =
  15. 15.71968 ÷ 97 =
  16. 16.760953 ÷ 998 =
  17. 17.87280 ÷ 97 =
  18. 18.904135 ÷ 988 =
  19. 19.58351 ÷ 96 =
  20. 20.20915 ÷ 98 =
  21. 21.1244 ÷ 96 =
  22. 22.88920 ÷ 96 =
  23. 23.87383 ÷ 97 =
  24. 24.2043 ÷ 8 =
  25. 25.75137 ÷ 96 =
  26. 26.7543 ÷ 8 =
  27. 27.37080 ÷ 97 =
  28. 28.43271 ÷ 96 =
  29. 29.19534 ÷ 97 =
  30. 30.10185 ÷ 88 =
  31. 31.179026 ÷ 997 =
  32. 32.4912 ÷ 8 =
  33. 33.1489 ÷ 8 =
  34. 34.88545 ÷ 88 =
  35. 35.764234 ÷ 897 =
  36. 36.74188 ÷ 97 =
  37. 37.255339 ÷ 897 =
  38. 38.11184 ÷ 98 =
  39. 39.35019 ÷ 88 =
  40. 40.551568 ÷ 988 =

Answer key

  1. 925 rem 76
  2. 367 rem 74
  3. 774 rem 3
  4. 376 rem 816
  5. 47 rem 217
  6. 131 rem 0
  7. 962 rem 751
  8. 66 rem 522
  9. 291 rem 654
  10. 527 rem 10
  11. 244 rem 21
  12. 459 rem 88
  13. 152 rem 18
  14. 1097 rem 4
  15. 741 rem 91
  16. 762 rem 477
  17. 899 rem 77
  18. 915 rem 115
  19. 607 rem 79
  20. 213 rem 41
  21. 12 rem 92
  22. 926 rem 24
  23. 900 rem 83
  24. 255 rem 3
  25. 782 rem 65
  26. 942 rem 7
  27. 382 rem 26
  28. 450 rem 71
  29. 201 rem 37
  30. 115 rem 65
  31. 179 rem 563
  32. 614 rem 0
  33. 186 rem 1
  34. 1006 rem 17
  35. 851 rem 887
  36. 764 rem 80
  37. 284 rem 591
  38. 114 rem 12
  39. 397 rem 83
  40. 558 rem 264

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