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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 331 · 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. 1.617774 ÷ 897 =
  2. 2.53456 ÷ 89 =
  3. 3.227286 ÷ 997 =
  4. 4.401083 ÷ 897 =
  5. 5.99881 ÷ 98 =
  6. 6.794675 ÷ 897 =
  7. 7.2150 ÷ 97 =
  8. 8.103249 ÷ 997 =
  9. 9.1617 ÷ 8 =
  10. 10.28175 ÷ 96 =
  11. 11.61258 ÷ 89 =
  12. 12.69541 ÷ 98 =
  13. 13.92093 ÷ 988 =
  14. 14.373486 ÷ 997 =
  15. 15.198362 ÷ 988 =
  16. 16.7515 ÷ 8 =
  17. 17.8782 ÷ 8 =
  18. 18.553431 ÷ 989 =
  19. 19.72745 ÷ 97 =
  20. 20.37475 ÷ 96 =
  21. 21.959541 ÷ 988 =
  22. 22.522515 ÷ 989 =
  23. 23.37608 ÷ 98 =
  24. 24.17494 ÷ 97 =
  25. 25.622999 ÷ 998 =
  26. 26.72534 ÷ 96 =
  27. 27.168151 ÷ 897 =
  28. 28.45430 ÷ 98 =
  29. 29.69045 ÷ 89 =
  30. 30.30868 ÷ 89 =
  31. 31.13321 ÷ 98 =
  32. 32.71792 ÷ 97 =
  33. 33.82127 ÷ 89 =
  34. 34.883734 ÷ 897 =
  35. 35.70927 ÷ 88 =
  36. 36.668356 ÷ 997 =
  37. 37.26020 ÷ 98 =
  38. 38.964264 ÷ 897 =
  39. 39.217779 ÷ 997 =
  40. 40.320673 ÷ 997 =

Answer key

  1. 688 rem 638
  2. 600 rem 56
  3. 227 rem 967
  4. 447 rem 124
  5. 1019 rem 19
  6. 885 rem 830
  7. 22 rem 16
  8. 103 rem 558
  9. 202 rem 1
  10. 293 rem 47
  11. 688 rem 26
  12. 709 rem 59
  13. 93 rem 209
  14. 374 rem 608
  15. 200 rem 762
  16. 939 rem 3
  17. 1097 rem 6
  18. 559 rem 580
  19. 749 rem 92
  20. 390 rem 35
  21. 971 rem 193
  22. 528 rem 323
  23. 383 rem 74
  24. 180 rem 34
  25. 624 rem 247
  26. 755 rem 54
  27. 187 rem 412
  28. 463 rem 56
  29. 775 rem 70
  30. 346 rem 74
  31. 135 rem 91
  32. 740 rem 12
  33. 922 rem 69
  34. 985 rem 189
  35. 805 rem 87
  36. 670 rem 366
  37. 265 rem 50
  38. 1074 rem 886
  39. 218 rem 433
  40. 321 rem 636

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