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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 607 · 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. 1.496194 ÷ 998 =
  2. 2.64897 ÷ 88 =
  3. 3.47141 ÷ 98 =
  4. 4.20602 ÷ 96 =
  5. 5.837503 ÷ 998 =
  6. 6.69875 ÷ 98 =
  7. 7.16435 ÷ 89 =
  8. 8.3486 ÷ 96 =
  9. 9.77519 ÷ 988 =
  10. 10.2959 ÷ 8 =
  11. 11.8560 ÷ 8 =
  12. 12.1015 ÷ 8 =
  13. 13.53207 ÷ 96 =
  14. 14.722177 ÷ 997 =
  15. 15.832458 ÷ 997 =
  16. 16.8572 ÷ 97 =
  17. 17.51112 ÷ 98 =
  18. 18.556532 ÷ 998 =
  19. 19.59611 ÷ 96 =
  20. 20.98840 ÷ 98 =
  21. 21.27431 ÷ 88 =
  22. 22.768441 ÷ 988 =
  23. 23.27928 ÷ 97 =
  24. 24.86086 ÷ 96 =
  25. 25.722 ÷ 8 =
  26. 26.304914 ÷ 897 =
  27. 27.754300 ÷ 897 =
  28. 28.462492 ÷ 989 =
  29. 29.597177 ÷ 998 =
  30. 30.339771 ÷ 897 =
  31. 31.42057 ÷ 97 =
  32. 32.361652 ÷ 997 =
  33. 33.3039 ÷ 8 =
  34. 34.91149 ÷ 98 =
  35. 35.4281 ÷ 8 =
  36. 36.77454 ÷ 98 =
  37. 37.808112 ÷ 988 =
  38. 38.454 ÷ 8 =
  39. 39.56382 ÷ 89 =
  40. 40.848395 ÷ 997 =

Answer key

  1. 497 rem 188
  2. 737 rem 41
  3. 481 rem 3
  4. 214 rem 58
  5. 839 rem 181
  6. 713 rem 1
  7. 184 rem 59
  8. 36 rem 30
  9. 78 rem 455
  10. 369 rem 7
  11. 1070 rem 0
  12. 126 rem 7
  13. 554 rem 23
  14. 724 rem 349
  15. 834 rem 960
  16. 88 rem 36
  17. 521 rem 54
  18. 557 rem 646
  19. 620 rem 91
  20. 1008 rem 56
  21. 311 rem 63
  22. 777 rem 765
  23. 287 rem 89
  24. 896 rem 70
  25. 90 rem 2
  26. 339 rem 831
  27. 840 rem 820
  28. 467 rem 629
  29. 598 rem 373
  30. 378 rem 705
  31. 433 rem 56
  32. 362 rem 738
  33. 379 rem 7
  34. 930 rem 9
  35. 535 rem 1
  36. 790 rem 34
  37. 817 rem 916
  38. 56 rem 6
  39. 633 rem 45
  40. 850 rem 945

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