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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 167 · 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. 1.94783 ÷ 98 =
  2. 2.61712 ÷ 98 =
  3. 3.712300 ÷ 989 =
  4. 4.33280 ÷ 96 =
  5. 5.18064 ÷ 96 =
  6. 6.24954 ÷ 88 =
  7. 7.650190 ÷ 988 =
  8. 8.25378 ÷ 88 =
  9. 9.7959 ÷ 97 =
  10. 10.819459 ÷ 997 =
  11. 11.31280 ÷ 88 =
  12. 12.4504 ÷ 8 =
  13. 13.9901 ÷ 97 =
  14. 14.307998 ÷ 988 =
  15. 15.52929 ÷ 97 =
  16. 16.396119 ÷ 989 =
  17. 17.42269 ÷ 88 =
  18. 18.414663 ÷ 989 =
  19. 19.93071 ÷ 98 =
  20. 20.2462 ÷ 8 =
  21. 21.9359 ÷ 8 =
  22. 22.36270 ÷ 98 =
  23. 23.94685 ÷ 998 =
  24. 24.22773 ÷ 98 =
  25. 25.90730 ÷ 98 =
  26. 26.129117 ÷ 998 =
  27. 27.2558 ÷ 88 =
  28. 28.34932 ÷ 97 =
  29. 29.8844 ÷ 8 =
  30. 30.79392 ÷ 96 =
  31. 31.21131 ÷ 96 =
  32. 32.89966 ÷ 88 =
  33. 33.500173 ÷ 998 =
  34. 34.23214 ÷ 97 =
  35. 35.964679 ÷ 998 =
  36. 36.15911 ÷ 98 =
  37. 37.507504 ÷ 988 =
  38. 38.74647 ÷ 88 =
  39. 39.2848 ÷ 8 =
  40. 40.567 ÷ 8 =

Answer key

  1. 967 rem 17
  2. 629 rem 70
  3. 720 rem 220
  4. 346 rem 64
  5. 188 rem 16
  6. 283 rem 50
  7. 658 rem 86
  8. 288 rem 34
  9. 82 rem 5
  10. 821 rem 922
  11. 355 rem 40
  12. 563 rem 0
  13. 102 rem 7
  14. 311 rem 730
  15. 545 rem 64
  16. 400 rem 519
  17. 480 rem 29
  18. 419 rem 272
  19. 949 rem 69
  20. 307 rem 6
  21. 1169 rem 7
  22. 370 rem 10
  23. 94 rem 873
  24. 232 rem 37
  25. 925 rem 80
  26. 129 rem 375
  27. 29 rem 6
  28. 360 rem 12
  29. 1105 rem 4
  30. 827 rem 0
  31. 220 rem 11
  32. 1022 rem 30
  33. 501 rem 175
  34. 239 rem 31
  35. 966 rem 611
  36. 162 rem 35
  37. 513 rem 660
  38. 848 rem 23
  39. 356 rem 0
  40. 70 rem 7

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