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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 390 · 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. 1.90985 ÷ 98 =
  2. 2.33240 ÷ 97 =
  3. 3.198808 ÷ 997 =
  4. 4.6886 ÷ 8 =
  5. 5.892492 ÷ 897 =
  6. 6.40127 ÷ 96 =
  7. 7.32523 ÷ 97 =
  8. 8.5739 ÷ 8 =
  9. 9.622203 ÷ 988 =
  10. 10.6322 ÷ 8 =
  11. 11.20251 ÷ 88 =
  12. 12.99726 ÷ 998 =
  13. 13.722562 ÷ 997 =
  14. 14.231343 ÷ 988 =
  15. 15.69619 ÷ 96 =
  16. 16.5459 ÷ 8 =
  17. 17.49239 ÷ 98 =
  18. 18.27909 ÷ 89 =
  19. 19.30279 ÷ 96 =
  20. 20.141000 ÷ 997 =
  21. 21.422446 ÷ 988 =
  22. 22.594986 ÷ 998 =
  23. 23.354124 ÷ 988 =
  24. 24.87220 ÷ 989 =
  25. 25.90641 ÷ 88 =
  26. 26.5158 ÷ 8 =
  27. 27.8121 ÷ 8 =
  28. 28.3570 ÷ 89 =
  29. 29.9466 ÷ 8 =
  30. 30.42364 ÷ 89 =
  31. 31.95783 ÷ 88 =
  32. 32.79409 ÷ 98 =
  33. 33.170037 ÷ 897 =
  34. 34.21648 ÷ 97 =
  35. 35.69066 ÷ 98 =
  36. 36.273564 ÷ 988 =
  37. 37.525360 ÷ 997 =
  38. 38.75648 ÷ 97 =
  39. 39.17563 ÷ 98 =
  40. 40.17601 ÷ 89 =

Answer key

  1. 928 rem 41
  2. 342 rem 66
  3. 199 rem 405
  4. 860 rem 6
  5. 994 rem 874
  6. 417 rem 95
  7. 335 rem 28
  8. 717 rem 3
  9. 629 rem 751
  10. 790 rem 2
  11. 230 rem 11
  12. 99 rem 924
  13. 724 rem 734
  14. 234 rem 151
  15. 725 rem 19
  16. 682 rem 3
  17. 502 rem 43
  18. 313 rem 52
  19. 315 rem 39
  20. 141 rem 423
  21. 427 rem 570
  22. 596 rem 178
  23. 358 rem 420
  24. 88 rem 188
  25. 1030 rem 1
  26. 644 rem 6
  27. 1015 rem 1
  28. 40 rem 10
  29. 1183 rem 2
  30. 476 rem 0
  31. 1088 rem 39
  32. 810 rem 29
  33. 189 rem 504
  34. 223 rem 17
  35. 704 rem 74
  36. 276 rem 876
  37. 526 rem 938
  38. 779 rem 85
  39. 179 rem 21
  40. 197 rem 68

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