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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 107 · 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. 1.25635 ÷ 98 =
  2. 2.996509 ÷ 988 =
  3. 3.235863 ÷ 988 =
  4. 4.12567 ÷ 97 =
  5. 5.88991 ÷ 97 =
  6. 6.69662 ÷ 97 =
  7. 7.1631 ÷ 97 =
  8. 8.7474 ÷ 8 =
  9. 9.147134 ÷ 998 =
  10. 10.60025 ÷ 88 =
  11. 11.81212 ÷ 98 =
  12. 12.676232 ÷ 989 =
  13. 13.66269 ÷ 989 =
  14. 14.96602 ÷ 88 =
  15. 15.21237 ÷ 88 =
  16. 16.56726 ÷ 89 =
  17. 17.89813 ÷ 88 =
  18. 18.285343 ÷ 988 =
  19. 19.2115 ÷ 8 =
  20. 20.11103 ÷ 88 =
  21. 21.96901 ÷ 96 =
  22. 22.29397 ÷ 96 =
  23. 23.69507 ÷ 96 =
  24. 24.19629 ÷ 96 =
  25. 25.12992 ÷ 88 =
  26. 26.44632 ÷ 97 =
  27. 27.703222 ÷ 989 =
  28. 28.67859 ÷ 89 =
  29. 29.379440 ÷ 897 =
  30. 30.75053 ÷ 98 =
  31. 31.69765 ÷ 88 =
  32. 32.501754 ÷ 998 =
  33. 33.87200 ÷ 96 =
  34. 34.5439 ÷ 98 =
  35. 35.96742 ÷ 89 =
  36. 36.941092 ÷ 998 =
  37. 37.78438 ÷ 96 =
  38. 38.1476 ÷ 8 =
  39. 39.80412 ÷ 97 =
  40. 40.274342 ÷ 997 =

Answer key

  1. 261 rem 57
  2. 1008 rem 605
  3. 238 rem 719
  4. 129 rem 54
  5. 917 rem 42
  6. 718 rem 16
  7. 16 rem 79
  8. 934 rem 2
  9. 147 rem 428
  10. 682 rem 9
  11. 828 rem 68
  12. 683 rem 745
  13. 67 rem 6
  14. 1097 rem 66
  15. 241 rem 29
  16. 637 rem 33
  17. 1020 rem 53
  18. 288 rem 799
  19. 264 rem 3
  20. 126 rem 15
  21. 1009 rem 37
  22. 306 rem 21
  23. 724 rem 3
  24. 204 rem 45
  25. 147 rem 56
  26. 460 rem 12
  27. 711 rem 43
  28. 762 rem 41
  29. 423 rem 9
  30. 765 rem 83
  31. 792 rem 69
  32. 502 rem 758
  33. 908 rem 32
  34. 55 rem 49
  35. 1086 rem 88
  36. 942 rem 976
  37. 817 rem 6
  38. 184 rem 4
  39. 828 rem 96
  40. 275 rem 167

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