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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 285 · 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. 1.946733 ÷ 988 =
  2. 2.704736 ÷ 897 =
  3. 3.236969 ÷ 998 =
  4. 4.17094 ÷ 98 =
  5. 5.297868 ÷ 989 =
  6. 6.2994 ÷ 8 =
  7. 7.846675 ÷ 988 =
  8. 8.81896 ÷ 98 =
  9. 9.157472 ÷ 997 =
  10. 10.34161 ÷ 88 =
  11. 11.50544 ÷ 96 =
  12. 12.53420 ÷ 998 =
  13. 13.203469 ÷ 998 =
  14. 14.70960 ÷ 96 =
  15. 15.46388 ÷ 98 =
  16. 16.40051 ÷ 97 =
  17. 17.81138 ÷ 96 =
  18. 18.94857 ÷ 989 =
  19. 19.303673 ÷ 988 =
  20. 20.24946 ÷ 98 =
  21. 21.8399 ÷ 8 =
  22. 22.77340 ÷ 97 =
  23. 23.20232 ÷ 89 =
  24. 24.26532 ÷ 98 =
  25. 25.787659 ÷ 989 =
  26. 26.4733 ÷ 8 =
  27. 27.246805 ÷ 897 =
  28. 28.690340 ÷ 989 =
  29. 29.34955 ÷ 98 =
  30. 30.2106 ÷ 8 =
  31. 31.590258 ÷ 997 =
  32. 32.53772 ÷ 88 =
  33. 33.65347 ÷ 98 =
  34. 34.593653 ÷ 988 =
  35. 35.16920 ÷ 98 =
  36. 36.404043 ÷ 998 =
  37. 37.988917 ÷ 989 =
  38. 38.9194 ÷ 8 =
  39. 39.726994 ÷ 897 =
  40. 40.656358 ÷ 988 =

Answer key

  1. 958 rem 229
  2. 785 rem 591
  3. 237 rem 443
  4. 174 rem 42
  5. 301 rem 179
  6. 374 rem 2
  7. 856 rem 947
  8. 835 rem 66
  9. 157 rem 943
  10. 388 rem 17
  11. 526 rem 48
  12. 53 rem 526
  13. 203 rem 875
  14. 739 rem 16
  15. 473 rem 34
  16. 412 rem 87
  17. 845 rem 18
  18. 95 rem 902
  19. 307 rem 357
  20. 254 rem 54
  21. 1049 rem 7
  22. 797 rem 31
  23. 227 rem 29
  24. 270 rem 72
  25. 796 rem 415
  26. 591 rem 5
  27. 275 rem 130
  28. 698 rem 18
  29. 356 rem 67
  30. 263 rem 2
  31. 592 rem 34
  32. 611 rem 4
  33. 666 rem 79
  34. 600 rem 853
  35. 172 rem 64
  36. 404 rem 851
  37. 999 rem 906
  38. 1149 rem 2
  39. 810 rem 424
  40. 664 rem 326

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