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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 681 · 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. 1.97352 ÷ 98 =
  2. 2.140483 ÷ 988 =
  3. 3.431631 ÷ 997 =
  4. 4.392470 ÷ 998 =
  5. 5.629812 ÷ 998 =
  6. 6.295393 ÷ 989 =
  7. 7.20416 ÷ 88 =
  8. 8.55790 ÷ 88 =
  9. 9.647377 ÷ 897 =
  10. 10.464416 ÷ 997 =
  11. 11.83712 ÷ 97 =
  12. 12.99006 ÷ 89 =
  13. 13.109476 ÷ 998 =
  14. 14.17207 ÷ 96 =
  15. 15.23821 ÷ 88 =
  16. 16.557081 ÷ 989 =
  17. 17.17079 ÷ 89 =
  18. 18.67703 ÷ 98 =
  19. 19.768228 ÷ 997 =
  20. 20.20606 ÷ 98 =
  21. 21.755939 ÷ 897 =
  22. 22.1038 ÷ 98 =
  23. 23.356235 ÷ 988 =
  24. 24.53498 ÷ 96 =
  25. 25.59946 ÷ 88 =
  26. 26.84201 ÷ 897 =
  27. 27.780177 ÷ 998 =
  28. 28.8119 ÷ 96 =
  29. 29.72090 ÷ 89 =
  30. 30.284634 ÷ 897 =
  31. 31.575765 ÷ 998 =
  32. 32.767945 ÷ 989 =
  33. 33.63414 ÷ 96 =
  34. 34.936676 ÷ 998 =
  35. 35.487159 ÷ 989 =
  36. 36.908955 ÷ 897 =
  37. 37.22637 ÷ 97 =
  38. 38.877624 ÷ 988 =
  39. 39.64043 ÷ 89 =
  40. 40.6091 ÷ 8 =

Answer key

  1. 993 rem 38
  2. 142 rem 187
  3. 432 rem 927
  4. 393 rem 256
  5. 631 rem 74
  6. 298 rem 671
  7. 232 rem 0
  8. 633 rem 86
  9. 721 rem 640
  10. 465 rem 811
  11. 863 rem 1
  12. 1112 rem 38
  13. 109 rem 694
  14. 179 rem 23
  15. 270 rem 61
  16. 563 rem 274
  17. 191 rem 80
  18. 690 rem 83
  19. 770 rem 538
  20. 210 rem 26
  21. 842 rem 665
  22. 10 rem 58
  23. 360 rem 555
  24. 557 rem 26
  25. 681 rem 18
  26. 93 rem 780
  27. 781 rem 739
  28. 84 rem 55
  29. 810 rem 0
  30. 317 rem 285
  31. 576 rem 917
  32. 776 rem 481
  33. 660 rem 54
  34. 938 rem 552
  35. 492 rem 571
  36. 1013 rem 294
  37. 233 rem 36
  38. 888 rem 280
  39. 719 rem 52
  40. 761 rem 3

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