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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 485 · 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. 1.94126 ÷ 97 =
  2. 2.82806 ÷ 98 =
  3. 3.53304 ÷ 89 =
  4. 4.177635 ÷ 998 =
  5. 5.958430 ÷ 989 =
  6. 6.17107 ÷ 98 =
  7. 7.17632 ÷ 88 =
  8. 8.22364 ÷ 88 =
  9. 9.19029 ÷ 997 =
  10. 10.11093 ÷ 88 =
  11. 11.92489 ÷ 998 =
  12. 12.117550 ÷ 988 =
  13. 13.20136 ÷ 89 =
  14. 14.42255 ÷ 88 =
  15. 15.401411 ÷ 998 =
  16. 16.43052 ÷ 88 =
  17. 17.45544 ÷ 997 =
  18. 18.739 ÷ 8 =
  19. 19.326996 ÷ 897 =
  20. 20.55343 ÷ 998 =
  21. 21.118363 ÷ 998 =
  22. 22.295233 ÷ 988 =
  23. 23.828013 ÷ 988 =
  24. 24.4195 ÷ 8 =
  25. 25.652822 ÷ 989 =
  26. 26.28820 ÷ 97 =
  27. 27.19284 ÷ 88 =
  28. 28.7196 ÷ 89 =
  29. 29.298996 ÷ 997 =
  30. 30.92547 ÷ 96 =
  31. 31.228356 ÷ 989 =
  32. 32.234628 ÷ 897 =
  33. 33.10051 ÷ 88 =
  34. 34.175123 ÷ 998 =
  35. 35.22230 ÷ 96 =
  36. 36.503096 ÷ 997 =
  37. 37.82350 ÷ 997 =
  38. 38.9627 ÷ 89 =
  39. 39.4166 ÷ 8 =
  40. 40.3868 ÷ 97 =

Answer key

  1. 970 rem 36
  2. 844 rem 94
  3. 598 rem 82
  4. 177 rem 989
  5. 969 rem 89
  6. 174 rem 55
  7. 200 rem 32
  8. 254 rem 12
  9. 19 rem 86
  10. 126 rem 5
  11. 92 rem 673
  12. 118 rem 966
  13. 226 rem 22
  14. 480 rem 15
  15. 402 rem 215
  16. 489 rem 20
  17. 45 rem 679
  18. 92 rem 3
  19. 364 rem 488
  20. 55 rem 453
  21. 118 rem 599
  22. 298 rem 809
  23. 838 rem 69
  24. 524 rem 3
  25. 660 rem 82
  26. 297 rem 11
  27. 219 rem 12
  28. 80 rem 76
  29. 299 rem 893
  30. 964 rem 3
  31. 230 rem 886
  32. 261 rem 511
  33. 114 rem 19
  34. 175 rem 473
  35. 231 rem 54
  36. 504 rem 608
  37. 82 rem 596
  38. 108 rem 15
  39. 520 rem 6
  40. 39 rem 85

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