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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 436 · 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. 1.22784 ÷ 96 =
  2. 2.757158 ÷ 998 =
  3. 3.4060 ÷ 88 =
  4. 4.50922 ÷ 89 =
  5. 5.38847 ÷ 96 =
  6. 6.926774 ÷ 997 =
  7. 7.483245 ÷ 989 =
  8. 8.634351 ÷ 897 =
  9. 9.66327 ÷ 98 =
  10. 10.941458 ÷ 989 =
  11. 11.17580 ÷ 96 =
  12. 12.634674 ÷ 897 =
  13. 13.14123 ÷ 97 =
  14. 14.670109 ÷ 897 =
  15. 15.17478 ÷ 96 =
  16. 16.44780 ÷ 97 =
  17. 17.98417 ÷ 88 =
  18. 18.68965 ÷ 97 =
  19. 19.355558 ÷ 989 =
  20. 20.91247 ÷ 98 =
  21. 21.457896 ÷ 988 =
  22. 22.692806 ÷ 897 =
  23. 23.518613 ÷ 998 =
  24. 24.903633 ÷ 997 =
  25. 25.284530 ÷ 998 =
  26. 26.296189 ÷ 988 =
  27. 27.8203 ÷ 8 =
  28. 28.597098 ÷ 997 =
  29. 29.321366 ÷ 988 =
  30. 30.838884 ÷ 989 =
  31. 31.912253 ÷ 997 =
  32. 32.745518 ÷ 998 =
  33. 33.55174 ÷ 96 =
  34. 34.20637 ÷ 97 =
  35. 35.7619 ÷ 96 =
  36. 36.60466 ÷ 96 =
  37. 37.437516 ÷ 998 =
  38. 38.259258 ÷ 897 =
  39. 39.615826 ÷ 997 =
  40. 40.164447 ÷ 988 =

Answer key

  1. 237 rem 32
  2. 758 rem 674
  3. 46 rem 12
  4. 572 rem 14
  5. 404 rem 63
  6. 929 rem 561
  7. 488 rem 613
  8. 707 rem 172
  9. 676 rem 79
  10. 951 rem 919
  11. 183 rem 12
  12. 707 rem 495
  13. 145 rem 58
  14. 747 rem 50
  15. 182 rem 6
  16. 461 rem 63
  17. 1118 rem 33
  18. 710 rem 95
  19. 359 rem 507
  20. 931 rem 9
  21. 463 rem 452
  22. 772 rem 322
  23. 519 rem 651
  24. 906 rem 351
  25. 285 rem 100
  26. 299 rem 777
  27. 1025 rem 3
  28. 598 rem 892
  29. 325 rem 266
  30. 848 rem 212
  31. 914 rem 995
  32. 747 rem 12
  33. 574 rem 70
  34. 212 rem 73
  35. 79 rem 35
  36. 629 rem 82
  37. 438 rem 392
  38. 289 rem 25
  39. 617 rem 677
  40. 166 rem 439

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