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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 989 · 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. 1.578433 ÷ 897 =
  2. 2.230799 ÷ 989 =
  3. 3.9452 ÷ 8 =
  4. 4.701754 ÷ 998 =
  5. 5.623646 ÷ 998 =
  6. 6.113193 ÷ 897 =
  7. 7.14752 ÷ 89 =
  8. 8.67461 ÷ 97 =
  9. 9.36789 ÷ 98 =
  10. 10.283820 ÷ 997 =
  11. 11.19847 ÷ 96 =
  12. 12.84673 ÷ 88 =
  13. 13.5295 ÷ 96 =
  14. 14.76839 ÷ 89 =
  15. 15.18534 ÷ 98 =
  16. 16.539878 ÷ 997 =
  17. 17.39395 ÷ 897 =
  18. 18.15250 ÷ 97 =
  19. 19.70255 ÷ 89 =
  20. 20.751614 ÷ 997 =
  21. 21.284394 ÷ 997 =
  22. 22.87315 ÷ 96 =
  23. 23.443545 ÷ 998 =
  24. 24.520733 ÷ 997 =
  25. 25.73855 ÷ 98 =
  26. 26.40344 ÷ 96 =
  27. 27.16703 ÷ 897 =
  28. 28.48024 ÷ 88 =
  29. 29.23410 ÷ 96 =
  30. 30.79199 ÷ 97 =
  31. 31.945983 ÷ 988 =
  32. 32.931191 ÷ 988 =
  33. 33.62818 ÷ 96 =
  34. 34.676438 ÷ 988 =
  35. 35.861399 ÷ 989 =
  36. 36.86170 ÷ 97 =
  37. 37.9508 ÷ 97 =
  38. 38.56501 ÷ 97 =
  39. 39.23632 ÷ 989 =
  40. 40.456485 ÷ 998 =

Answer key

  1. 644 rem 765
  2. 233 rem 362
  3. 1181 rem 4
  4. 703 rem 160
  5. 624 rem 894
  6. 126 rem 171
  7. 165 rem 67
  8. 695 rem 46
  9. 375 rem 39
  10. 284 rem 672
  11. 206 rem 71
  12. 962 rem 17
  13. 55 rem 15
  14. 863 rem 32
  15. 189 rem 12
  16. 541 rem 501
  17. 43 rem 824
  18. 157 rem 21
  19. 789 rem 34
  20. 753 rem 873
  21. 285 rem 249
  22. 909 rem 51
  23. 444 rem 433
  24. 522 rem 299
  25. 753 rem 61
  26. 420 rem 24
  27. 18 rem 557
  28. 545 rem 64
  29. 243 rem 82
  30. 816 rem 47
  31. 957 rem 467
  32. 942 rem 495
  33. 654 rem 34
  34. 684 rem 646
  35. 870 rem 969
  36. 888 rem 34
  37. 98 rem 2
  38. 582 rem 47
  39. 23 rem 885
  40. 457 rem 399

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