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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 59 · 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. 1.82104 ÷ 98 =
  2. 2.395293 ÷ 988 =
  3. 3.43800 ÷ 97 =
  4. 4.5781 ÷ 8 =
  5. 5.713243 ÷ 998 =
  6. 6.206468 ÷ 989 =
  7. 7.949440 ÷ 998 =
  8. 8.19168 ÷ 97 =
  9. 9.52622 ÷ 98 =
  10. 10.922665 ÷ 998 =
  11. 11.313538 ÷ 988 =
  12. 12.603468 ÷ 989 =
  13. 13.119996 ÷ 988 =
  14. 14.551176 ÷ 989 =
  15. 15.39361 ÷ 97 =
  16. 16.882070 ÷ 998 =
  17. 17.67619 ÷ 96 =
  18. 18.15573 ÷ 98 =
  19. 19.318484 ÷ 988 =
  20. 20.80445 ÷ 98 =
  21. 21.305227 ÷ 988 =
  22. 22.438497 ÷ 897 =
  23. 23.12060 ÷ 89 =
  24. 24.978572 ÷ 989 =
  25. 25.85655 ÷ 89 =
  26. 26.843132 ÷ 988 =
  27. 27.99943 ÷ 98 =
  28. 28.49311 ÷ 98 =
  29. 29.7419 ÷ 8 =
  30. 30.192309 ÷ 998 =
  31. 31.926490 ÷ 897 =
  32. 32.190341 ÷ 988 =
  33. 33.57930 ÷ 98 =
  34. 34.46082 ÷ 89 =
  35. 35.21900 ÷ 98 =
  36. 36.85799 ÷ 97 =
  37. 37.725683 ÷ 989 =
  38. 38.32403 ÷ 96 =
  39. 39.105460 ÷ 897 =
  40. 40.251590 ÷ 997 =

Answer key

  1. 837 rem 78
  2. 400 rem 93
  3. 451 rem 53
  4. 722 rem 5
  5. 714 rem 671
  6. 208 rem 756
  7. 951 rem 342
  8. 197 rem 59
  9. 536 rem 94
  10. 924 rem 513
  11. 317 rem 342
  12. 610 rem 178
  13. 121 rem 448
  14. 557 rem 303
  15. 405 rem 76
  16. 883 rem 836
  17. 704 rem 35
  18. 158 rem 89
  19. 322 rem 348
  20. 820 rem 85
  21. 308 rem 923
  22. 488 rem 761
  23. 135 rem 45
  24. 989 rem 451
  25. 962 rem 37
  26. 853 rem 368
  27. 1019 rem 81
  28. 503 rem 17
  29. 927 rem 3
  30. 192 rem 693
  31. 1032 rem 786
  32. 192 rem 645
  33. 591 rem 12
  34. 517 rem 69
  35. 223 rem 46
  36. 884 rem 51
  37. 733 rem 746
  38. 337 rem 51
  39. 117 rem 511
  40. 252 rem 346

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