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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 798 · 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. 1.74847 ÷ 98 =
  2. 2.7472 ÷ 88 =
  3. 3.626566 ÷ 989 =
  4. 4.34830 ÷ 89 =
  5. 5.949231 ÷ 988 =
  6. 6.18054 ÷ 88 =
  7. 7.40001 ÷ 88 =
  8. 8.7165 ÷ 8 =
  9. 9.13585 ÷ 97 =
  10. 10.4328 ÷ 8 =
  11. 11.43066 ÷ 97 =
  12. 12.88111 ÷ 98 =
  13. 13.457326 ÷ 998 =
  14. 14.7141 ÷ 98 =
  15. 15.85399 ÷ 96 =
  16. 16.739687 ÷ 897 =
  17. 17.37957 ÷ 97 =
  18. 18.258233 ÷ 997 =
  19. 19.725227 ÷ 989 =
  20. 20.77893 ÷ 96 =
  21. 21.75845 ÷ 98 =
  22. 22.220759 ÷ 998 =
  23. 23.53173 ÷ 98 =
  24. 24.29377 ÷ 98 =
  25. 25.1111 ÷ 8 =
  26. 26.272115 ÷ 988 =
  27. 27.296628 ÷ 897 =
  28. 28.817843 ÷ 997 =
  29. 29.50562 ÷ 997 =
  30. 30.40973 ÷ 97 =
  31. 31.993972 ÷ 998 =
  32. 32.553234 ÷ 998 =
  33. 33.17611 ÷ 89 =
  34. 34.26420 ÷ 997 =
  35. 35.5422 ÷ 8 =
  36. 36.188355 ÷ 998 =
  37. 37.202013 ÷ 997 =
  38. 38.827366 ÷ 897 =
  39. 39.863725 ÷ 997 =
  40. 40.2641 ÷ 8 =

Answer key

  1. 763 rem 73
  2. 84 rem 80
  3. 633 rem 529
  4. 391 rem 31
  5. 960 rem 751
  6. 205 rem 14
  7. 454 rem 49
  8. 895 rem 5
  9. 140 rem 5
  10. 541 rem 0
  11. 443 rem 95
  12. 899 rem 9
  13. 458 rem 242
  14. 72 rem 85
  15. 889 rem 55
  16. 824 rem 559
  17. 391 rem 30
  18. 259 rem 10
  19. 733 rem 290
  20. 811 rem 37
  21. 773 rem 91
  22. 221 rem 201
  23. 542 rem 57
  24. 299 rem 75
  25. 138 rem 7
  26. 275 rem 415
  27. 330 rem 618
  28. 820 rem 303
  29. 50 rem 712
  30. 422 rem 39
  31. 995 rem 962
  32. 554 rem 342
  33. 197 rem 78
  34. 26 rem 498
  35. 677 rem 6
  36. 188 rem 731
  37. 202 rem 619
  38. 922 rem 332
  39. 866 rem 323
  40. 330 rem 1

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