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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 121 · 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. 1.81125 ÷ 97 =
  2. 2.51289 ÷ 89 =
  3. 3.364326 ÷ 897 =
  4. 4.133116 ÷ 998 =
  5. 5.650798 ÷ 989 =
  6. 6.49734 ÷ 97 =
  7. 7.914129 ÷ 988 =
  8. 8.86116 ÷ 988 =
  9. 9.930725 ÷ 988 =
  10. 10.404951 ÷ 897 =
  11. 11.356289 ÷ 989 =
  12. 12.16538 ÷ 89 =
  13. 13.131682 ÷ 997 =
  14. 14.201442 ÷ 998 =
  15. 15.250998 ÷ 998 =
  16. 16.59018 ÷ 97 =
  17. 17.58863 ÷ 89 =
  18. 18.203034 ÷ 997 =
  19. 19.52696 ÷ 897 =
  20. 20.50328 ÷ 96 =
  21. 21.26024 ÷ 89 =
  22. 22.387872 ÷ 897 =
  23. 23.10197 ÷ 98 =
  24. 24.4356 ÷ 8 =
  25. 25.2431 ÷ 8 =
  26. 26.202968 ÷ 998 =
  27. 27.7005 ÷ 8 =
  28. 28.84302 ÷ 97 =
  29. 29.499597 ÷ 997 =
  30. 30.5358 ÷ 97 =
  31. 31.7580 ÷ 8 =
  32. 32.117938 ÷ 897 =
  33. 33.12243 ÷ 88 =
  34. 34.964311 ÷ 988 =
  35. 35.673661 ÷ 998 =
  36. 36.519168 ÷ 998 =
  37. 37.25010 ÷ 98 =
  38. 38.84714 ÷ 88 =
  39. 39.8720 ÷ 8 =
  40. 40.41199 ÷ 98 =

Answer key

  1. 836 rem 33
  2. 576 rem 25
  3. 406 rem 144
  4. 133 rem 382
  5. 658 rem 36
  6. 512 rem 70
  7. 925 rem 229
  8. 87 rem 160
  9. 942 rem 29
  10. 451 rem 404
  11. 360 rem 249
  12. 185 rem 73
  13. 132 rem 78
  14. 201 rem 844
  15. 251 rem 500
  16. 608 rem 42
  17. 661 rem 34
  18. 203 rem 643
  19. 58 rem 670
  20. 524 rem 24
  21. 292 rem 36
  22. 432 rem 368
  23. 104 rem 5
  24. 544 rem 4
  25. 303 rem 7
  26. 203 rem 374
  27. 875 rem 5
  28. 869 rem 9
  29. 501 rem 100
  30. 55 rem 23
  31. 947 rem 4
  32. 131 rem 431
  33. 139 rem 11
  34. 976 rem 23
  35. 675 rem 11
  36. 520 rem 208
  37. 255 rem 20
  38. 962 rem 58
  39. 1090 rem 0
  40. 420 rem 39

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