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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 589 · 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. 1.39046 ÷ 88 =
  2. 2.562439 ÷ 988 =
  3. 3.22942 ÷ 98 =
  4. 4.78502 ÷ 88 =
  5. 5.19900 ÷ 97 =
  6. 6.99015 ÷ 96 =
  7. 7.19067 ÷ 89 =
  8. 8.64817 ÷ 989 =
  9. 9.16595 ÷ 97 =
  10. 10.5454 ÷ 89 =
  11. 11.21347 ÷ 998 =
  12. 12.73759 ÷ 88 =
  13. 13.991994 ÷ 997 =
  14. 14.14498 ÷ 98 =
  15. 15.70622 ÷ 96 =
  16. 16.935344 ÷ 988 =
  17. 17.7498 ÷ 96 =
  18. 18.83628 ÷ 98 =
  19. 19.85246 ÷ 89 =
  20. 20.160622 ÷ 989 =
  21. 21.611493 ÷ 989 =
  22. 22.79215 ÷ 98 =
  23. 23.980733 ÷ 897 =
  24. 24.88755 ÷ 96 =
  25. 25.10481 ÷ 897 =
  26. 26.86224 ÷ 96 =
  27. 27.81452 ÷ 998 =
  28. 28.411332 ÷ 988 =
  29. 29.273364 ÷ 997 =
  30. 30.97850 ÷ 98 =
  31. 31.97832 ÷ 96 =
  32. 32.13270 ÷ 88 =
  33. 33.8899 ÷ 8 =
  34. 34.721647 ÷ 989 =
  35. 35.127982 ÷ 989 =
  36. 36.68869 ÷ 88 =
  37. 37.88927 ÷ 89 =
  38. 38.3116 ÷ 8 =
  39. 39.312009 ÷ 998 =
  40. 40.30758 ÷ 97 =

Answer key

  1. 443 rem 62
  2. 569 rem 267
  3. 234 rem 10
  4. 892 rem 6
  5. 205 rem 15
  6. 1031 rem 39
  7. 214 rem 21
  8. 65 rem 532
  9. 171 rem 8
  10. 61 rem 25
  11. 21 rem 389
  12. 838 rem 15
  13. 994 rem 976
  14. 147 rem 92
  15. 735 rem 62
  16. 946 rem 696
  17. 78 rem 10
  18. 853 rem 34
  19. 957 rem 73
  20. 162 rem 404
  21. 618 rem 291
  22. 808 rem 31
  23. 1093 rem 312
  24. 924 rem 51
  25. 11 rem 614
  26. 898 rem 16
  27. 81 rem 614
  28. 416 rem 324
  29. 274 rem 186
  30. 998 rem 46
  31. 1019 rem 8
  32. 150 rem 70
  33. 1112 rem 3
  34. 729 rem 666
  35. 129 rem 401
  36. 782 rem 53
  37. 999 rem 16
  38. 389 rem 4
  39. 312 rem 633
  40. 317 rem 9

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