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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 173 · 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. 1.98745 ÷ 98 =
  2. 2.4244 ÷ 8 =
  3. 3.296882 ÷ 989 =
  4. 4.71131 ÷ 989 =
  5. 5.60811 ÷ 89 =
  6. 6.534436 ÷ 897 =
  7. 7.15319 ÷ 998 =
  8. 8.737187 ÷ 988 =
  9. 9.6617 ÷ 96 =
  10. 10.917415 ÷ 989 =
  11. 11.2960 ÷ 8 =
  12. 12.24020 ÷ 98 =
  13. 13.32300 ÷ 98 =
  14. 14.38050 ÷ 97 =
  15. 15.46978 ÷ 97 =
  16. 16.895536 ÷ 997 =
  17. 17.11571 ÷ 97 =
  18. 18.73036 ÷ 89 =
  19. 19.83341 ÷ 96 =
  20. 20.749022 ÷ 988 =
  21. 21.15711 ÷ 96 =
  22. 22.355547 ÷ 997 =
  23. 23.466762 ÷ 989 =
  24. 24.62716 ÷ 88 =
  25. 25.88987 ÷ 96 =
  26. 26.35626 ÷ 88 =
  27. 27.361125 ÷ 897 =
  28. 28.395107 ÷ 988 =
  29. 29.4293 ÷ 8 =
  30. 30.122855 ÷ 998 =
  31. 31.30699 ÷ 97 =
  32. 32.28531 ÷ 96 =
  33. 33.80993 ÷ 89 =
  34. 34.420187 ÷ 989 =
  35. 35.5177 ÷ 8 =
  36. 36.176502 ÷ 998 =
  37. 37.16815 ÷ 96 =
  38. 38.21411 ÷ 97 =
  39. 39.76236 ÷ 89 =
  40. 40.748364 ÷ 897 =

Answer key

  1. 1007 rem 59
  2. 530 rem 4
  3. 300 rem 182
  4. 71 rem 912
  5. 683 rem 24
  6. 595 rem 721
  7. 15 rem 349
  8. 746 rem 139
  9. 68 rem 89
  10. 927 rem 612
  11. 370 rem 0
  12. 245 rem 10
  13. 329 rem 58
  14. 392 rem 26
  15. 484 rem 30
  16. 898 rem 230
  17. 119 rem 28
  18. 820 rem 56
  19. 868 rem 13
  20. 758 rem 118
  21. 163 rem 63
  22. 356 rem 615
  23. 471 rem 943
  24. 712 rem 60
  25. 926 rem 91
  26. 404 rem 74
  27. 402 rem 531
  28. 399 rem 895
  29. 536 rem 5
  30. 123 rem 101
  31. 316 rem 47
  32. 297 rem 19
  33. 910 rem 3
  34. 424 rem 851
  35. 647 rem 1
  36. 176 rem 854
  37. 175 rem 15
  38. 220 rem 71
  39. 856 rem 52
  40. 834 rem 266

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