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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 195 · 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. 1.929126 ÷ 897 =
  2. 2.15727 ÷ 98 =
  3. 3.800534 ÷ 989 =
  4. 4.805205 ÷ 897 =
  5. 5.65085 ÷ 96 =
  6. 6.93020 ÷ 88 =
  7. 7.842234 ÷ 897 =
  8. 8.365337 ÷ 989 =
  9. 9.75520 ÷ 89 =
  10. 10.145261 ÷ 988 =
  11. 11.56570 ÷ 98 =
  12. 12.119220 ÷ 989 =
  13. 13.876928 ÷ 988 =
  14. 14.76262 ÷ 97 =
  15. 15.73732 ÷ 96 =
  16. 16.874431 ÷ 897 =
  17. 17.597926 ÷ 988 =
  18. 18.8093 ÷ 8 =
  19. 19.678523 ÷ 998 =
  20. 20.14580 ÷ 98 =
  21. 21.24586 ÷ 97 =
  22. 22.93150 ÷ 89 =
  23. 23.882397 ÷ 988 =
  24. 24.999721 ÷ 989 =
  25. 25.43549 ÷ 88 =
  26. 26.845475 ÷ 988 =
  27. 27.633484 ÷ 989 =
  28. 28.11755 ÷ 97 =
  29. 29.24902 ÷ 98 =
  30. 30.25402 ÷ 88 =
  31. 31.65431 ÷ 98 =
  32. 32.602420 ÷ 989 =
  33. 33.136743 ÷ 989 =
  34. 34.970145 ÷ 988 =
  35. 35.8707 ÷ 8 =
  36. 36.91838 ÷ 89 =
  37. 37.6211 ÷ 96 =
  38. 38.81441 ÷ 88 =
  39. 39.5422 ÷ 8 =
  40. 40.24701 ÷ 96 =

Answer key

  1. 1035 rem 731
  2. 160 rem 47
  3. 809 rem 433
  4. 897 rem 596
  5. 677 rem 93
  6. 1057 rem 4
  7. 938 rem 848
  8. 369 rem 396
  9. 848 rem 48
  10. 147 rem 25
  11. 577 rem 24
  12. 120 rem 540
  13. 887 rem 572
  14. 786 rem 20
  15. 768 rem 4
  16. 974 rem 753
  17. 605 rem 186
  18. 1011 rem 5
  19. 679 rem 881
  20. 148 rem 76
  21. 253 rem 45
  22. 1046 rem 56
  23. 893 rem 113
  24. 1010 rem 831
  25. 494 rem 77
  26. 855 rem 735
  27. 640 rem 524
  28. 121 rem 18
  29. 254 rem 10
  30. 288 rem 58
  31. 667 rem 65
  32. 609 rem 119
  33. 138 rem 261
  34. 981 rem 917
  35. 1088 rem 3
  36. 1031 rem 79
  37. 64 rem 67
  38. 925 rem 41
  39. 677 rem 6
  40. 257 rem 29

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