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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 905 · 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. 1.260669 ÷ 989 =
  2. 2.619093 ÷ 997 =
  3. 3.62470 ÷ 998 =
  4. 4.266522 ÷ 998 =
  5. 5.167535 ÷ 989 =
  6. 6.6055 ÷ 8 =
  7. 7.52909 ÷ 97 =
  8. 8.290033 ÷ 988 =
  9. 9.1050 ÷ 8 =
  10. 10.96647 ÷ 88 =
  11. 11.5371 ÷ 8 =
  12. 12.50886 ÷ 88 =
  13. 13.22358 ÷ 97 =
  14. 14.24284 ÷ 988 =
  15. 15.720072 ÷ 989 =
  16. 16.28764 ÷ 97 =
  17. 17.31425 ÷ 98 =
  18. 18.614245 ÷ 897 =
  19. 19.6988 ÷ 8 =
  20. 20.29534 ÷ 89 =
  21. 21.66699 ÷ 89 =
  22. 22.963478 ÷ 988 =
  23. 23.64172 ÷ 997 =
  24. 24.16316 ÷ 89 =
  25. 25.207962 ÷ 998 =
  26. 26.168181 ÷ 988 =
  27. 27.739092 ÷ 988 =
  28. 28.118274 ÷ 998 =
  29. 29.54402 ÷ 89 =
  30. 30.113886 ÷ 998 =
  31. 31.35323 ÷ 88 =
  32. 32.9872 ÷ 8 =
  33. 33.3882 ÷ 8 =
  34. 34.46274 ÷ 97 =
  35. 35.730645 ÷ 997 =
  36. 36.35410 ÷ 98 =
  37. 37.40819 ÷ 97 =
  38. 38.56698 ÷ 98 =
  39. 39.57394 ÷ 89 =
  40. 40.17070 ÷ 96 =

Answer key

  1. 263 rem 562
  2. 620 rem 953
  3. 62 rem 594
  4. 267 rem 56
  5. 169 rem 394
  6. 756 rem 7
  7. 545 rem 44
  8. 293 rem 549
  9. 131 rem 2
  10. 1098 rem 23
  11. 671 rem 3
  12. 578 rem 22
  13. 230 rem 48
  14. 24 rem 572
  15. 728 rem 80
  16. 296 rem 52
  17. 320 rem 65
  18. 684 rem 697
  19. 873 rem 4
  20. 331 rem 75
  21. 749 rem 38
  22. 975 rem 178
  23. 64 rem 364
  24. 183 rem 29
  25. 208 rem 378
  26. 170 rem 221
  27. 748 rem 68
  28. 118 rem 510
  29. 611 rem 23
  30. 114 rem 114
  31. 401 rem 35
  32. 1234 rem 0
  33. 485 rem 2
  34. 477 rem 5
  35. 732 rem 841
  36. 361 rem 32
  37. 420 rem 79
  38. 578 rem 54
  39. 644 rem 78
  40. 177 rem 78

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