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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 770 · 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. 1.687347 ÷ 988 =
  2. 2.89243 ÷ 89 =
  3. 3.63652 ÷ 97 =
  4. 4.30429 ÷ 98 =
  5. 5.5818 ÷ 8 =
  6. 6.273642 ÷ 897 =
  7. 7.21361 ÷ 88 =
  8. 8.9756 ÷ 8 =
  9. 9.87565 ÷ 97 =
  10. 10.279621 ÷ 997 =
  11. 11.247967 ÷ 988 =
  12. 12.21942 ÷ 98 =
  13. 13.537242 ÷ 998 =
  14. 14.29937 ÷ 97 =
  15. 15.52284 ÷ 88 =
  16. 16.638322 ÷ 989 =
  17. 17.67068 ÷ 96 =
  18. 18.4356 ÷ 8 =
  19. 19.478022 ÷ 989 =
  20. 20.992986 ÷ 989 =
  21. 21.45064 ÷ 897 =
  22. 22.20282 ÷ 98 =
  23. 23.39137 ÷ 96 =
  24. 24.848814 ÷ 988 =
  25. 25.983697 ÷ 998 =
  26. 26.16895 ÷ 88 =
  27. 27.8150 ÷ 8 =
  28. 28.461942 ÷ 988 =
  29. 29.90123 ÷ 97 =
  30. 30.18815 ÷ 98 =
  31. 31.23199 ÷ 97 =
  32. 32.89730 ÷ 88 =
  33. 33.70954 ÷ 89 =
  34. 34.88462 ÷ 96 =
  35. 35.1399 ÷ 8 =
  36. 36.871774 ÷ 997 =
  37. 37.875278 ÷ 989 =
  38. 38.701279 ÷ 998 =
  39. 39.52061 ÷ 98 =
  40. 40.411241 ÷ 897 =

Answer key

  1. 695 rem 687
  2. 1002 rem 65
  3. 656 rem 20
  4. 310 rem 49
  5. 727 rem 2
  6. 305 rem 57
  7. 242 rem 65
  8. 1219 rem 4
  9. 902 rem 71
  10. 280 rem 461
  11. 250 rem 967
  12. 223 rem 88
  13. 538 rem 318
  14. 308 rem 61
  15. 594 rem 12
  16. 645 rem 417
  17. 698 rem 60
  18. 544 rem 4
  19. 483 rem 335
  20. 1004 rem 30
  21. 50 rem 214
  22. 206 rem 94
  23. 407 rem 65
  24. 859 rem 122
  25. 985 rem 667
  26. 191 rem 87
  27. 1018 rem 6
  28. 467 rem 546
  29. 929 rem 10
  30. 191 rem 97
  31. 239 rem 16
  32. 1019 rem 58
  33. 797 rem 21
  34. 921 rem 46
  35. 174 rem 7
  36. 874 rem 396
  37. 885 rem 13
  38. 702 rem 683
  39. 531 rem 23
  40. 458 rem 415

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