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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 248 · 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. 1.3874 ÷ 96 =
  2. 2.314465 ÷ 897 =
  3. 3.641228 ÷ 897 =
  4. 4.17635 ÷ 98 =
  5. 5.324947 ÷ 897 =
  6. 6.85511 ÷ 98 =
  7. 7.769722 ÷ 998 =
  8. 8.911464 ÷ 897 =
  9. 9.705194 ÷ 988 =
  10. 10.6474 ÷ 8 =
  11. 11.7475 ÷ 96 =
  12. 12.79077 ÷ 88 =
  13. 13.835370 ÷ 997 =
  14. 14.80294 ÷ 88 =
  15. 15.246449 ÷ 988 =
  16. 16.1365 ÷ 8 =
  17. 17.220838 ÷ 997 =
  18. 18.867191 ÷ 997 =
  19. 19.85119 ÷ 97 =
  20. 20.55673 ÷ 97 =
  21. 21.25613 ÷ 98 =
  22. 22.77296 ÷ 88 =
  23. 23.37661 ÷ 97 =
  24. 24.7443 ÷ 89 =
  25. 25.17638 ÷ 96 =
  26. 26.9552 ÷ 89 =
  27. 27.6629 ÷ 89 =
  28. 28.190612 ÷ 989 =
  29. 29.125909 ÷ 997 =
  30. 30.52893 ÷ 988 =
  31. 31.28965 ÷ 98 =
  32. 32.153154 ÷ 998 =
  33. 33.7137 ÷ 8 =
  34. 34.586347 ÷ 897 =
  35. 35.793641 ÷ 989 =
  36. 36.339249 ÷ 988 =
  37. 37.53182 ÷ 97 =
  38. 38.847422 ÷ 998 =
  39. 39.328551 ÷ 997 =
  40. 40.65092 ÷ 97 =

Answer key

  1. 40 rem 34
  2. 350 rem 515
  3. 714 rem 770
  4. 179 rem 93
  5. 362 rem 233
  6. 872 rem 55
  7. 771 rem 264
  8. 1016 rem 112
  9. 713 rem 750
  10. 809 rem 2
  11. 77 rem 83
  12. 898 rem 53
  13. 837 rem 881
  14. 912 rem 38
  15. 249 rem 437
  16. 170 rem 5
  17. 221 rem 501
  18. 869 rem 798
  19. 877 rem 50
  20. 573 rem 92
  21. 261 rem 35
  22. 878 rem 32
  23. 388 rem 25
  24. 83 rem 56
  25. 183 rem 70
  26. 107 rem 29
  27. 74 rem 43
  28. 192 rem 724
  29. 126 rem 287
  30. 53 rem 529
  31. 295 rem 55
  32. 153 rem 460
  33. 892 rem 1
  34. 653 rem 606
  35. 802 rem 463
  36. 343 rem 365
  37. 548 rem 26
  38. 849 rem 120
  39. 329 rem 538
  40. 671 rem 5

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